648956160 has 108 divisors (see below), whose sum is σ = 2245360572. Its totient is φ = 173051904.

The previous prime is 648956149. The next prime is 648956183. The reversal of 648956160 is 61659846.

648956160 is a `hidden beast` number, since 6 + 4 + 89 + 561 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91240704 + 557715456 = 9552^2 + 23616^2 .

It is a super-2 number, since 2×648956160² = 842288195203891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16647 + ... + 39686.

Almost surely, 2^648956160 is an apocalyptic number.

648956160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648956160 is an abundant number, since it is smaller than the sum of its proper divisors (1596404412).

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

648956160 is a wasteful number, since it uses less digits than its factorization.

648956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56360 (or 56343 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 648956160 is about 25474.6179559184. The cubic root of 648956160 is about 865.7751568852.

The spelling of 648956160 in words is "six hundred forty-eight million, nine hundred fifty-six thousand, one hundred sixty".