90969600 has 240 divisors, whose sum is σ = 316622592. Its totient is φ = 22978560.

The previous prime is 90969559. The next prime is 90969617. The reversal of 90969600 is 696909.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883149 + ... + 883251.

Almost surely, 2^90969600 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 90969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158311296).

90969600 is an abundant number, since it is smaller than the sum of its proper divisors (225652992).

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

90969600 is a wasteful number, since it uses less digits than its factorization.

90969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90969600 is about 9537.7984881208. The cubic root of 90969600 is about 449.7440519820.

The spelling of 90969600 in words is "ninety million, nine hundred sixty-nine thousand, six hundred".