978624360 has 192 divisors, whose sum is σ = 3650849280. Its totient is φ = 222704640.

The previous prime is 978624347. The next prime is 978624377. The reversal of 978624360 is 63426879.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 682204 + ... + 683636.

It is an arithmetic number, because the mean of its divisors is an integer number (19014840).

Almost surely, 2^978624360 is an apocalyptic number.

978624360 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 978624360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825424640).

978624360 is an abundant number, since it is smaller than the sum of its proper divisors (2672224920).

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

978624360 is a wasteful number, since it uses less digits than its factorization.

978624360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 978624360 is about 31282.9723651702. The cubic root of 978624360 is about 992.8234063772.

The spelling of 978624360 in words is "nine hundred seventy-eight million, six hundred twenty-four thousand, three hundred sixty".