1064436400 has 60 divisors (see below), whose sum is σ = 2564132512. Its totient is φ = 424638720.

The previous prime is 1064436391. The next prime is 1064436421. The reversal of 1064436400 is 46344601.

It is a happy number.

It is a super-2 number, since 2×1064436400² = 2266049699289920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155449 + ... + 162151.

Almost surely, 2^1064436400 is an apocalyptic number.

1064436400 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 1064436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282066256).

1064436400 is an abundant number, since it is smaller than the sum of its proper divisors (1499696112).

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

1064436400 is a wasteful number, since it uses less digits than its factorization.

1064436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1064436400 is about 32625.7015250247. The cubic root of 1064436400 is about 1021.0332986403.

The spelling of 1064436400 in words is "one billion, sixty-four million, four hundred thirty-six thousand, four hundred".