90837552 has 80 divisors (see below), whose sum is σ = 254671200. Its totient is φ = 27734016.

The previous prime is 90837529. The next prime is 90837559. The reversal of 90837552 is 25573809.

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 90837552.

It is not an unprimeable number, because it can be changed into a prime (90837559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92488 + ... + 93464.

It is an arithmetic number, because the mean of its divisors is an integer number (3183390).

Almost surely, 2^90837552 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 90837552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127335600).

90837552 is an abundant number, since it is smaller than the sum of its proper divisors (163833648).

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

90837552 is a wasteful number, since it uses less digits than its factorization.

90837552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 90837552 is about 9530.8736220768. The cubic root of 90837552 is about 449.5263361708.

The spelling of 90837552 in words is "ninety million, eight hundred thirty-seven thousand, five hundred fifty-two".