979632000 has 192 divisors, whose sum is σ = 3518620560. Its totient is φ = 261196800.

The previous prime is 979631981. The next prime is 979632061. The reversal of 979632000 is 236979.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140599 + ... + 147401.

Almost surely, 2^979632000 is an apocalyptic number.

979632000 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 979632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759310280).

979632000 is an abundant number, since it is smaller than the sum of its proper divisors (2538988560).

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

979632000 is a wasteful number, since it uses less digits than its factorization.

979632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 979632000 is about 31299.0734687147. The cubic root of 979632000 is about 993.1640428385.

Adding to 979632000 its reverse (236979), we get a palindrome (979868979).

The spelling of 979632000 in words is "nine hundred seventy-nine million, six hundred thirty-two thousand".