964986048 has 392 divisors, whose sum is σ = 3249287888. Its totient is φ = 282175488.

The previous prime is 964986037. The next prime is 964986067. The reversal of 964986048 is 840689469.

964986048 is a `hidden beast` number, since 96 + 498 + 60 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 964986048 = 360³ + 972³ = 684³ + 864³.

It is a junction number, because it is equal to n+sod(n) for n = 964985985 and 964986003.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22441515 + ... + 22441557.

Almost surely, 2^964986048 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 964986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624643944).

964986048 is an abundant number, since it is smaller than the sum of its proper divisors (2284301840).

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

964986048 is a wasteful number, since it uses less digits than its factorization.

964986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 964986048 is about 31064.2245678208. The cubic root of 964986048 is about 988.1897497618.

The spelling of 964986048 in words is "nine hundred sixty-four million, nine hundred eighty-six thousand, forty-eight".