90137680 has 40 divisors (see below), whose sum is σ = 214689384. Its totient is φ = 35174400.

The previous prime is 90137651. The next prime is 90137693. The reversal of 90137680 is 8673109.

It can be written as a sum of positive squares in 4 ways, for example, as 9784384 + 80353296 = 3128^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 10461 + ... + 17020.

Almost surely, 2^90137680 is an apocalyptic number.

It is an amenable number.

90137680 is an abundant number, since it is smaller than the sum of its proper divisors (124551704).

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

90137680 is a wasteful number, since it uses less digits than its factorization.

90137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27535 (or 27529 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 90137680 is about 9494.0865806037. The cubic root of 90137680 is about 448.3688766737.

The spelling of 90137680 in words is "ninety million, one hundred thirty-seven thousand, six hundred eighty".