1006596864 has 216 divisors, whose sum is σ = 3572764832. Its totient is φ = 265420800.

The previous prime is 1006596821. The next prime is 1006596887. The reversal of 1006596864 is 4686956001.

It is a super-2 number, since 2×1006596864² = 2026474493229268992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207264 + ... + 212064.

Almost surely, 2^1006596864 is an apocalyptic number.

1006596864 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 1006596864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786382416).

1006596864 is an abundant number, since it is smaller than the sum of its proper divisors (2566167968).

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

1006596864 is a wasteful number, since it uses less digits than its factorization.

1006596864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1006596864 is about 31726.9107226027. The cubic root of 1006596864 is about 1002.1941369089.

It can be divided in two parts, 10065 and 96864, that added together give a square (106929 = 327²).

The spelling of 1006596864 in words is "one billion, six million, five hundred ninety-six thousand, eight hundred sixty-four".