647060400 has 420 divisors, whose sum is σ = 2672148912. Its totient is φ = 147432960.

The previous prime is 647060389. The next prime is 647060437. The reversal of 647060400 is 4060746.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×647060400² = 837374322496320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041042 + ... + 2041358.

Almost surely, 2^647060400 is an apocalyptic number.

647060400 is a gapful number since it is divisible by the number (60) 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 647060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336074456).

647060400 is an abundant number, since it is smaller than the sum of its proper divisors (2025088512).

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

647060400 is a wasteful number, since it uses less digits than its factorization.

647060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 647060400 is about 25437.3819407580. The cubic root of 647060400 is about 864.9312874907.

The spelling of 647060400 in words is "six hundred forty-seven million, sixty thousand, four hundred".