648140400 has 120 divisors (see below), whose sum is σ = 2306938160. Its totient is φ = 172834560.

The previous prime is 648140399. The next prime is 648140417. The reversal of 648140400 is 4041846.

648140400 is a `hidden beast` number, since 648 + 14 + 0 + 4 + 0 + 0 = 666.

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

It is a super-2 number, since 2×648140400² = 840171956224320000, which contains 22 as substring.

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

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, 19207 + ... + 40806.

Almost surely, 2^648140400 is an apocalyptic number.

648140400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648140400 is an abundant number, since it is smaller than the sum of its proper divisors (1658797760).

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

648140400 is a wasteful number, since it uses less digits than its factorization.

648140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60040 (or 60023 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 648140400 is about 25458.6016898022. The cubic root of 648140400 is about 865.4122351527.

The spelling of 648140400 in words is "six hundred forty-eight million, one hundred forty thousand, four hundred".