90151680 has 144 divisors (see below), whose sum is σ = 305079264. Its totient is φ = 22609920.

The previous prime is 90151679. The next prime is 90151727. The reversal of 90151680 is 8615109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 64590 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (2118606).

Almost surely, 2^90151680 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 90151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152539632).

90151680 is an abundant number, since it is smaller than the sum of its proper divisors (214927584).

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

90151680 is a wasteful number, since it uses less digits than its factorization.

90151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 90151680 is about 9494.8238530264. The cubic root of 90151680 is about 448.3920887174.

Adding to 90151680 its reverse (8615109), we get a palindrome (98766789).

The spelling of 90151680 in words is "ninety million, one hundred fifty-one thousand, six hundred eighty".