90501642 has 192 divisors, whose sum is σ = 271724544. Its totient is φ = 21035520.

The previous prime is 90501601. The next prime is 90501643. The reversal of 90501642 is 24610509.

It is not an unprimeable number, because it can be changed into a prime (90501643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541843 + ... + 542009.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^90501642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90501642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

90501642 is an abundant number, since it is smaller than the sum of its proper divisors (181222902).

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

90501642 is a wasteful number, since it uses less digits than its factorization.

90501642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90501642 is about 9513.2350964328. The cubic root of 90501642 is about 448.9715476107.

The spelling of 90501642 in words is "ninety million, five hundred one thousand, six hundred forty-two".