978832512 has 160 divisors (see below), whose sum is σ = 3329377920. Its totient is φ = 279645696.

The previous prime is 978832507. The next prime is 978832513. The reversal of 978832512 is 215238879.

It is a happy number.

It is a super-2 number, since 2×978832512² = 1916226173096460288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978832513) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65833 + ... + 79319.

It is an arithmetic number, because the mean of its divisors is an integer number (20808612).

Almost surely, 2^978832512 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 978832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664688960).

978832512 is an abundant number, since it is smaller than the sum of its proper divisors (2350545408).

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

978832512 is a wasteful number, since it uses less digits than its factorization.

978832512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13520 (or 13499 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 978832512 is about 31286.2991099938. The cubic root of 978832512 is about 992.8937920927.

The spelling of 978832512 in words is "nine hundred seventy-eight million, eight hundred thirty-two thousand, five hundred twelve".