1006413120 has 112 divisors (see below), whose sum is σ = 3550432320. Its totient is φ = 268374528.

The previous prime is 1006413059. The next prime is 1006413127. The reversal of 1006413120 is 213146001.

It is a happy number.

1006413120 is a `hidden beast` number, since 1 + 0 + 0 + 641 + 3 + 1 + 20 = 666.

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 = 1006413093 and 1006413102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006413127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49602 + ... + 66881.

Almost surely, 2^1006413120 is an apocalyptic number.

1006413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006413120 is an abundant number, since it is smaller than the sum of its proper divisors (2544019200).

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

1006413120 is a wasteful number, since it uses less digits than its factorization.

1006413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116509 (or 116493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1006413120 is about 31724.0148783221. The cubic root of 1006413120 is about 1002.1331530890.

Adding to 1006413120 its reverse (213146001), we get a palindrome (1219559121).

The spelling of 1006413120 in words is "one billion, six million, four hundred thirteen thousand, one hundred twenty".