978842160 has 240 divisors, whose sum is σ = 3393827424. Its totient is φ = 252715008.

The previous prime is 978842147. The next prime is 978842197. The reversal of 978842160 is 61248879.

978842160 is a `hidden beast` number, since 97 + 88 + 421 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4311967 + ... + 4312193.

Almost surely, 2^978842160 is an apocalyptic number.

978842160 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 978842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696913712).

978842160 is an abundant number, since it is smaller than the sum of its proper divisors (2414985264).

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

978842160 is a wasteful number, since it uses less digits than its factorization.

978842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 978842160 is about 31286.4532985124. The cubic root of 978842160 is about 992.8970542810.

The spelling of 978842160 in words is "nine hundred seventy-eight million, eight hundred forty-two thousand, one hundred sixty".