988926624 has 384 divisors, whose sum is σ = 3483648000. Its totient is φ = 272643840.

The previous prime is 988926581. The next prime is 988926643. The reversal of 988926624 is 426629889.

It is a happy number.

988926624 is a `hidden beast` number, since 9 + 8 + 8 + 9 + 2 + 6 + 624 = 666.

988926624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13928509 + ... + 13928579.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^988926624 is an apocalyptic number.

988926624 is a gapful number since it is divisible by the number (94) 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 988926624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

988926624 is an abundant number, since it is smaller than the sum of its proper divisors (2494721376).

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

988926624 is a wasteful number, since it uses less digits than its factorization.

988926624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 988926624 is about 31447.2037548651. The cubic root of 988926624 is about 996.2951658210.

The spelling of 988926624 in words is "nine hundred eighty-eight million, nine hundred twenty-six thousand, six hundred twenty-four".