648972 has 30 divisors (see below), whose sum is σ = 1697388. Its totient is φ = 216216.

The previous prime is 648971. The next prime is 648997. The reversal of 648972 is 279846.

648972 is a `hidden beast` number, since 648 + 9 + 7 + 2 = 666.

648972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

648972 is a modest number, since divided by 972 gives 648 as remainder.

It is not an unprimeable number, because it can be changed into a prime (648971) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 678 + ... + 1325.

2⁶⁴⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

648972 is an abundant number, since it is smaller than the sum of its proper divisors (1048416).

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

648972 is a wasteful number, since it uses less digits than its factorization.

648972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2008 counting only the distinct ones).

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

The square root of 648972 is about 805.5879840216. The cubic root of 648972 is about 86.5782200898.

It can be divided in two parts, 6489 and 72, that added together give a 8-th power (6561 = 3⁸).

The spelling of 648972 in words is "six hundred forty-eight thousand, nine hundred seventy-two".