90254592 has 108 divisors (see below), whose sum is σ = 266570304. Its totient is φ = 29352960.

The previous prime is 90254587. The next prime is 90254597. The reversal of 90254592 is 29545209.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90254587) and next prime (90254597).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90254597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98617 + ... + 99527.

Almost surely, 2^90254592 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 90254592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133285152).

90254592 is an abundant number, since it is smaller than the sum of its proper divisors (176315712).

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

90254592 is a wasteful number, since it uses less digits than its factorization.

90254592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90254592 is about 9500.2416811363. The cubic root of 90254592 is about 448.5626434202.

The spelling of 90254592 in words is "ninety million, two hundred fifty-four thousand, five hundred ninety-two".