90921792 has 112 divisors (see below), whose sum is σ = 263144000. Its totient is φ = 27537408.

The previous prime is 90921767. The next prime is 90921827. The reversal of 90921792 is 29712909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 90921792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181959 + ... + 182457.

It is an arithmetic number, because the mean of its divisors is an integer number (2349500).

Almost surely, 2^90921792 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 90921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131572000).

90921792 is an abundant number, since it is smaller than the sum of its proper divisors (172222208).

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

90921792 is a wasteful number, since it uses less digits than its factorization.

90921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 90921792 is about 9535.2919200201. The cubic root of 90921792 is about 449.6652522829.

The spelling of 90921792 in words is "ninety million, nine hundred twenty-one thousand, seven hundred ninety-two".