90919968 has 24 divisors (see below), whose sum is σ = 238665168. Its totient is φ = 30306624.

The previous prime is 90919957. The next prime is 90919979. The reversal of 90919968 is 86991909.

It is an interprime number because it is at equal distance from previous prime (90919957) and next prime (90919979).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×90919968² = 16532881162242048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90919968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473446 + ... + 473637.

It is an arithmetic number, because the mean of its divisors is an integer number (9944382).

Almost surely, 2^90919968 is an apocalyptic number.

It is an amenable number.

90919968 is an abundant number, since it is smaller than the sum of its proper divisors (147745200).

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

90919968 is a wasteful number, since it uses less digits than its factorization.

90919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947096 (or 947088 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The square root of 90919968 is about 9535.1962748545. The cubic root of 90919968 is about 449.6622453217.

The spelling of 90919968 in words is "ninety million, nine hundred nineteen thousand, nine hundred sixty-eight".