978265920 has 112 divisors (see below), whose sum is σ = 3269528640. Its totient is φ = 247136256.

The previous prime is 978265913. The next prime is 978265921. The reversal of 978265920 is 29562879.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 978265920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978265921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8577 + ... + 45056.

It is an arithmetic number, because the mean of its divisors is an integer number (29192220).

Almost surely, 2^978265920 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 978265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634764320).

978265920 is an abundant number, since it is smaller than the sum of its proper divisors (2291262720).

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

978265920 is a wasteful number, since it uses less digits than its factorization.

978265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53672 (or 53662 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 978265920 is about 31277.2428452381. The cubic root of 978265920 is about 992.7021780173.

The spelling of 978265920 in words is "nine hundred seventy-eight million, two hundred sixty-five thousand, nine hundred twenty".