1064108400 has 120 divisors (see below), whose sum is σ = 3464812464. Its totient is φ = 279091200.

The previous prime is 1064108393. The next prime is 1064108407. The reversal of 1064108400 is 48014601.

1064108400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1064108393) and next prime (1064108407).

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

It is a super-2 number, since 2×1064108400² = 2264653373901120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064108407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65932 + ... + 80468.

Almost surely, 2^1064108400 is an apocalyptic number.

1064108400 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 1064108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732406232).

1064108400 is an abundant number, since it is smaller than the sum of its proper divisors (2400704064).

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

1064108400 is a wasteful number, since it uses less digits than its factorization.

1064108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1064108400 is about 32620.6744258913. The cubic root of 1064108400 is about 1020.9284126722.

The spelling of 1064108400 in words is "one billion, sixty-four million, one hundred eight thousand, four hundred".