978132000 has 192 divisors, whose sum is σ = 3292458624. Its totient is φ = 253670400.

The previous prime is 978131911. The next prime is 978132041. The reversal of 978132000 is 231879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442899 + ... + 445101.

It is an arithmetic number, because the mean of its divisors is an integer number (17148222).

Almost surely, 2^978132000 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 978132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646229312).

978132000 is an abundant number, since it is smaller than the sum of its proper divisors (2314326624).

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

978132000 is a wasteful number, since it uses less digits than its factorization.

978132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 978132000 is about 31275.1019182992. The cubic root of 978132000 is about 992.6568771981.

Adding to 978132000 its reverse (231879), we get a palindrome (978363879).

The spelling of 978132000 in words is "nine hundred seventy-eight million, one hundred thirty-two thousand".