90651520 has 64 divisors (see below), whose sum is σ = 218116800. Its totient is φ = 36026368.

The previous prime is 90651499. The next prime is 90651529. The reversal of 90651520 is 2515609.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90651529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 125721 + ... + 126439.

It is an arithmetic number, because the mean of its divisors is an integer number (3408075).

Almost surely, 2^90651520 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 90651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109058400).

90651520 is an abundant number, since it is smaller than the sum of its proper divisors (127465280).

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

90651520 is a wasteful number, since it uses less digits than its factorization.

90651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 90651520 is about 9521.1091790820. The cubic root of 90651520 is about 449.2192552539.

It can be divided in two parts, 9065 and 1520, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 90651520 in words is "ninety million, six hundred fifty-one thousand, five hundred twenty".