988654968 has 288 divisors, whose sum is σ = 3364732800. Its totient is φ = 261382464.

The previous prime is 988654897. The next prime is 988654969. The reversal of 988654968 is 869456889.

988654968 is a `hidden beast` number, since 9 + 8 + 86 + 549 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988654969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22991955 + ... + 22991997.

It is an arithmetic number, because the mean of its divisors is an integer number (11683100).

Almost surely, 2^988654968 is an apocalyptic number.

988654968 is a gapful number since it is divisible by the number (98) 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 988654968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682366400).

988654968 is an abundant number, since it is smaller than the sum of its proper divisors (2376077832).

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

988654968 is a wasteful number, since it uses less digits than its factorization.

988654968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 988654968 is about 31442.8842188499. The cubic root of 988654968 is about 996.2039307589.

The spelling of 988654968 in words is "nine hundred eighty-eight million, six hundred fifty-four thousand, nine hundred sixty-eight".