1006214400 has 324 divisors, whose sum is σ = 3736448352. Its totient is φ = 267909120.

The previous prime is 1006214393. The next prime is 1006214401. The reversal of 1006214400 is 44126001.

1006214400 is a `hidden beast` number, since 1 + 0 + 0 + 621 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006214401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554877 + ... + 1555523.

It is an arithmetic number, because the mean of its divisors is an integer number (11532248).

Almost surely, 2^1006214400 is an apocalyptic number.

1006214400 is a gapful number since it is divisible by the number (10) 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 1006214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868224176).

1006214400 is an abundant number, since it is smaller than the sum of its proper divisors (2730233952).

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

1006214400 is an frugal number, since it uses more digits than its factorization.

1006214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 657 counting only the distinct ones).

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

The square root of 1006214400 is about 31720.8827115514. The cubic root of 1006214400 is about 1002.0671904458.

The spelling of 1006214400 in words is "one billion, six million, two hundred fourteen thousand, four hundred".