90379520 has 216 divisors, whose sum is σ = 276823008. Its totient is φ = 27955200.

The previous prime is 90379517. The next prime is 90379537. The reversal of 90379520 is 2597309.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689855 + ... + 689985.

It is an arithmetic number, because the mean of its divisors is an integer number (1281588).

Almost surely, 2^90379520 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 90379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138411504).

90379520 is an abundant number, since it is smaller than the sum of its proper divisors (186443488).

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

90379520 is a wasteful number, since it uses less digits than its factorization.

90379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 90379520 is about 9506.8143981041. The cubic root of 90379520 is about 448.7695108201.

The spelling of 90379520 in words is "ninety million, three hundred seventy-nine thousand, five hundred twenty".