649084000 has 96 divisors (see below), whose sum is σ = 1603457856. Its totient is φ = 258227200.

The previous prime is 649083979. The next prime is 649084039. The reversal of 649084000 is 480946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051692 + ... + 1052308.

It is an arithmetic number, because the mean of its divisors is an integer number (16702686).

Almost surely, 2^649084000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801728928).

649084000 is an abundant number, since it is smaller than the sum of its proper divisors (954373856).

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

649084000 is a wasteful number, since it uses less digits than its factorization.

649084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 649084000 is about 25477.1269965826. The cubic root of 649084000 is about 865.8320037807.

The spelling of 649084000 in words is "six hundred forty-nine million, eighty-four thousand".