90986592 has 96 divisors (see below), whose sum is σ = 254862720. Its totient is φ = 28339200.

The previous prime is 90986587. The next prime is 90986627. The reversal of 90986592 is 29568909.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 151092 + ... + 151692.

It is an arithmetic number, because the mean of its divisors is an integer number (2654820).

Almost surely, 2^90986592 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 90986592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127431360).

90986592 is an abundant number, since it is smaller than the sum of its proper divisors (163876128).

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

90986592 is a wasteful number, since it uses less digits than its factorization.

90986592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 90986592 is about 9538.6892181264. The cubic root of 90986592 is about 449.7720524539.

The spelling of 90986592 in words is "ninety million, nine hundred eighty-six thousand, five hundred ninety-two".