1000140624 has 240 divisors, whose sum is σ = 3314787840. Its totient is φ = 275616000.

The previous prime is 1000140623. The next prime is 1000140643. The reversal of 1000140624 is 4260410001.

1000140624 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 40 + 624 = 666.

It is a Cunningham number, because it is equal to 31625²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1000140597 and 1000140606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000140623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984499 + ... + 3984749.

It is an arithmetic number, because the mean of its divisors is an integer number (13811616).

Almost surely, 2^1000140624 is an apocalyptic number.

1000140624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000140624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657393920).

1000140624 is an abundant number, since it is smaller than the sum of its proper divisors (2314647216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000140624 is a wasteful number, since it uses less digits than its factorization.

1000140624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000140624 is about 31624.9999841897. Note that the first 4 decimals coincide. The cubic root of 1000140624 is about 1000.0468724696.

Adding to 1000140624 its reverse (4260410001), we get a palindrome (5260550625).

It can be divided in two parts, 10001 and 40624, that added together give a 4-th power (50625 = 15⁴).

The spelling of 1000140624 in words is "one billion, one hundred forty thousand, six hundred twenty-four".