978635520 has 180 divisors, whose sum is σ = 3502107840. Its totient is φ = 260941824.

The previous prime is 978635509. The next prime is 978635543. The reversal of 978635520 is 25536879.

It is a happy number.

978635520 is a `hidden beast` number, since 9 + 7 + 8 + 635 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98961 + ... + 108399.

Almost surely, 2^978635520 is an apocalyptic number.

978635520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751053920).

978635520 is an abundant number, since it is smaller than the sum of its proper divisors (2523472320).

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

978635520 is an equidigital number, since it uses as much as digits as its factorization.

978635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 978635520 is about 31283.1507364588. The cubic root of 978635520 is about 992.8271803370.

The spelling of 978635520 in words is "nine hundred seventy-eight million, six hundred thirty-five thousand, five hundred twenty".