918787968 has 256 divisors, whose sum is σ = 3131481600. Its totient is φ = 259780608.

The previous prime is 918787957. The next prime is 918787979. The reversal of 918787968 is 869787819.

It is an interprime number because it is at equal distance from previous prime (918787957) and next prime (918787979).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3943180 + ... + 3943412.

It is an arithmetic number, because the mean of its divisors is an integer number (12232350).

Almost surely, 2^918787968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565740800).

918787968 is an abundant number, since it is smaller than the sum of its proper divisors (2212693632).

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

918787968 is a wasteful number, since it uses less digits than its factorization.

918787968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The square root of 918787968 is about 30311.5154355568. The cubic root of 918787968 is about 972.1615338914.

The spelling of 918787968 in words is "nine hundred eighteen million, seven hundred eighty-seven thousand, nine hundred sixty-eight".