979616000 has 288 divisors, whose sum is σ = 2800901376. Its totient is φ = 340736000.

The previous prime is 979615997. The next prime is 979616009. The reversal of 979616000 is 616979.

It is not an unprimeable number, because it can be changed into a prime (979616009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42591989 + ... + 42592011.

It is an arithmetic number, because the mean of its divisors is an integer number (9725352).

Almost surely, 2^979616000 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 979616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400450688).

979616000 is an abundant number, since it is smaller than the sum of its proper divisors (1821285376).

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

979616000 is an equidigital number, since it uses as much as digits as its factorization.

979616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 979616000 is about 31298.8178690506. The cubic root of 979616000 is about 993.1586358043.

The spelling of 979616000 in words is "nine hundred seventy-nine million, six hundred sixteen thousand".