648720900 has 135 divisors (see below), whose sum is σ = 2110353861. Its totient is φ = 172380960.

The previous prime is 648720887. The next prime is 648720967. The reversal of 648720900 is 9027846.

The square root of 648720900 is 25470.

It is a perfect power (a square), and thus also a powerful number.

648720900 is a `hidden beast` number, since 648 + 7 + 2 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233539524 + 415181376 = 15282^2 + 20376^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2292159 + ... + 2292441.

Almost surely, 2^648720900 is an apocalyptic number.

648720900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

648720900 is the 25470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648720900

648720900 is an abundant number, since it is smaller than the sum of its proper divisors (1461632961).

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

648720900 is a wasteful number, since it uses less digits than its factorization.

648720900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 648720900 is about 865.6705237867.

Multiplying 648720900 by its sum of digits (36), we get a square (23353952400 = 152820²).

648720900 divided by its sum of digits (36) gives a square (18020025 = 4245²).

The spelling of 648720900 in words is "six hundred forty-eight million, seven hundred twenty thousand, nine hundred".