978716160 has 240 divisors, whose sum is σ = 3429865296. Its totient is φ = 257900544.

The previous prime is 978716149. The next prime is 978716173. The reversal of 978716160 is 61617879.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2465082 + ... + 2465478.

Almost surely, 2^978716160 is an apocalyptic number.

978716160 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 978716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714932648).

978716160 is an abundant number, since it is smaller than the sum of its proper divisors (2451149136).

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

978716160 is a wasteful number, since it uses less digits than its factorization.

978716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 978716160 is about 31284.4395826424. The cubic root of 978716160 is about 992.8544493878.

The spelling of 978716160 in words is "nine hundred seventy-eight million, seven hundred sixteen thousand, one hundred sixty".