90967968 has 288 divisors, whose sum is σ = 332035200. Its totient is φ = 23721984.

The previous prime is 90967957. The next prime is 90967993. The reversal of 90967968 is 86976909.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1022068 + ... + 1022156.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 2^90967968 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 90967968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017600).

90967968 is an abundant number, since it is smaller than the sum of its proper divisors (241067232).

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

90967968 is a wasteful number, since it uses less digits than its factorization.

90967968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 90967968 is about 9537.7129334029. The cubic root of 90967968 is about 449.7413624877.

The spelling of 90967968 in words is "ninety million, nine hundred sixty-seven thousand, nine hundred sixty-eight".