1064306400 has 144 divisors (see below), whose sum is σ = 3478777344. Its totient is φ = 282631680.

The previous prime is 1064306371. The next prime is 1064306429. The reversal of 1064306400 is 46034601.

It is an interprime number because it is at equal distance from previous prime (1064306371) and next prime (1064306429).

It is a super-2 number, since 2×1064306400² = 2265496226161920000, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678417 + ... + 679983.

It is an arithmetic number, because the mean of its divisors is an integer number (24158176).

Almost surely, 2^1064306400 is an apocalyptic number.

1064306400 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 1064306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739388672).

1064306400 is an abundant number, since it is smaller than the sum of its proper divisors (2414470944).

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

1064306400 is a wasteful number, since it uses less digits than its factorization.

1064306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1064306400 is about 32623.7091698660. The cubic root of 1064306400 is about 1020.9917305601.

The spelling of 1064306400 in words is "one billion, sixty-four million, three hundred six thousand, four hundred".