1064006400 has 216 divisors, whose sum is σ = 3544328704. Its totient is φ = 281088000.

The previous prime is 1064006399. The next prime is 1064006401. The reversal of 1064006400 is 46004601.

It is an interprime number because it is at equal distance from previous prime (1064006399) and next prime (1064006401).

It is a super-2 number, since 2×1064006400² = 2264219238481920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064006401) 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, 2899017 + ... + 2899383.

Almost surely, 2^1064006400 is an apocalyptic number.

1064006400 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 1064006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772164352).

1064006400 is an abundant number, since it is smaller than the sum of its proper divisors (2480322304).

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

1064006400 is a wasteful number, since it uses less digits than its factorization.

1064006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1064006400 is about 32619.1109627470. The cubic root of 1064006400 is about 1020.8957913009.

The spelling of 1064006400 in words is "one billion, sixty-four million, six thousand, four hundred".