90569600 has 192 divisors, whose sum is σ = 254983680. Its totient is φ = 31488000.

The previous prime is 90569593. The next prime is 90569621. The reversal of 90569600 is 696509.

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, 1091159 + ... + 1091241.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^90569600 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 90569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

90569600 is an abundant number, since it is smaller than the sum of its proper divisors (164414080).

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

90569600 is a wasteful number, since it uses less digits than its factorization.

90569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 90569600 is about 9516.8061869516. The cubic root of 90569600 is about 449.0838975966.

The spelling of 90569600 in words is "ninety million, five hundred sixty-nine thousand, six hundred".