1064361600 has 384 divisors, whose sum is σ = 3966412800. Its totient is φ = 278691840.

The previous prime is 1064361587. The next prime is 1064361601. The reversal of 1064361600 is 61634601.

1064361600 is a `hidden beast` number, since 1 + 0 + 6 + 43 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1064361600² = 2265731231109120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1064361601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8380737 + ... + 8380863.

It is an arithmetic number, because the mean of its divisors is an integer number (10329200).

Almost surely, 2^1064361600 is an apocalyptic number.

1064361600 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 1064361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983206400).

1064361600 is an abundant number, since it is smaller than the sum of its proper divisors (2902051200).

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

1064361600 is a wasteful number, since it uses less digits than its factorization.

1064361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1064361600 is about 32624.5551693812. Note that the first 3 decimals coincide. The cubic root of 1064361600 is about 1021.0093814200.

The spelling of 1064361600 in words is "one billion, sixty-four million, three hundred sixty-one thousand, six hundred".