978633920 has 112 divisors (see below), whose sum is σ = 2604613536. Its totient is φ = 347136000.

The previous prime is 978633899. The next prime is 978633941. The reversal of 978633920 is 29336879.

It is an interprime number because it is at equal distance from previous prime (978633899) and next prime (978633941).

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, 140930 + ... + 147710.

It is an arithmetic number, because the mean of its divisors is an integer number (23255478).

Almost surely, 2^978633920 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 978633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302306768).

978633920 is an abundant number, since it is smaller than the sum of its proper divisors (1625979616).

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

978633920 is a wasteful number, since it uses less digits than its factorization.

978633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 978633920 is about 31283.1251635766. The cubic root of 978633920 is about 992.8266392693.

The spelling of 978633920 in words is "nine hundred seventy-eight million, six hundred thirty-three thousand, nine hundred twenty".