978410160 has 480 divisors, whose sum is σ = 4110986880. Its totient is φ = 203046912.

The previous prime is 978410137. The next prime is 978410201. The reversal of 978410160 is 61014879.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7141612 + ... + 7141748.

It is an arithmetic number, because the mean of its divisors is an integer number (8564556).

Almost surely, 2^978410160 is an apocalyptic number.

978410160 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 978410160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055493440).

978410160 is an abundant number, since it is smaller than the sum of its proper divisors (3132576720).

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

978410160 is a wasteful number, since it uses less digits than its factorization.

978410160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 978410160 is about 31279.5485900932. The cubic root of 978410160 is about 992.7509651355.

The spelling of 978410160 in words is "nine hundred seventy-eight million, four hundred ten thousand, one hundred sixty".