90401792 has 44 divisors (see below), whose sum is σ = 194645136. Its totient is φ = 41717760.

The previous prime is 90401789. The next prime is 90401807. The reversal of 90401792 is 29710409.

It is a super-2 number, since 2×90401792² = 16344967993622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9917 + ... + 16707.

Almost surely, 2^90401792 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 90401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97322568).

90401792 is an abundant number, since it is smaller than the sum of its proper divisors (104243344).

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

90401792 is a wasteful number, since it uses less digits than its factorization.

90401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 90401792 is about 9507.9856962450. The cubic root of 90401792 is about 448.8063708434.

The spelling of 90401792 in words is "ninety million, four hundred one thousand, seven hundred ninety-two".