648156000 has 96 divisors (see below), whose sum is σ = 2123398368. Its totient is φ = 172838400.

The previous prime is 648155993. The next prime is 648156007. The reversal of 648156000 is 651846.

It is an interprime number because it is at equal distance from previous prime (648155993) and next prime (648156007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648156007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15007 + ... + 39006.

It is an arithmetic number, because the mean of its divisors is an integer number (22118733).

Almost surely, 2^648156000 is an apocalyptic number.

648156000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648156000 is an abundant number, since it is smaller than the sum of its proper divisors (1475242368).

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

648156000 is a wasteful number, since it uses less digits than its factorization.

648156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54041 (or 54023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 648156000 is about 25458.9080677079. The cubic root of 648156000 is about 865.4191782587.

It can be divided in two parts, 6481 and 56000, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 648156000 in words is "six hundred forty-eight million, one hundred fifty-six thousand".