1064672400 has 120 divisors (see below), whose sum is σ = 3720592224. Its totient is φ = 258099200.

The previous prime is 1064672387. The next prime is 1064672419. The reversal of 1064672400 is 42764601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1064672400² = 2267054638643520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27129 + ... + 53528.

Almost surely, 2^1064672400 is an apocalyptic number.

1064672400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064672400 is an abundant number, since it is smaller than the sum of its proper divisors (2655919824).

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

1064672400 is a wasteful number, since it uses less digits than its factorization.

1064672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80689 (or 80678 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1064672400 is about 32629.3181050417. The cubic root of 1064672400 is about 1021.1087520453.

The spelling of 1064672400 in words is "one billion, sixty-four million, six hundred seventy-two thousand, four hundred".