90744192 has 384 divisors, whose sum is σ = 347289600. Its totient is φ = 22809600.

The previous prime is 90744187. The next prime is 90744211. The reversal of 90744192 is 29144709.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 2927217 + ... + 2927247.

It is an arithmetic number, because the mean of its divisors is an integer number (904400).

Almost surely, 2^90744192 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 90744192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644800).

90744192 is an abundant number, since it is smaller than the sum of its proper divisors (256545408).

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

90744192 is a wasteful number, since it uses less digits than its factorization.

90744192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90744192 is about 9525.9745958091. The cubic root of 90744192 is about 449.3722803361.

The spelling of 90744192 in words is "ninety million, seven hundred forty-four thousand, one hundred ninety-two".