90186079840 has 72 divisors (see below), whose sum is σ = 226335190032. Its totient is φ = 33952389120.

The previous prime is 90186079817. The next prime is 90186079843. The reversal of 90186079840 is 4897068109.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90186079843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928956 + ... + 1021435.

It is an arithmetic number, because the mean of its divisors is an integer number (3143544306).

Almost surely, 2^90186079840 is an apocalyptic number.

It is an amenable number.

90186079840 is an abundant number, since it is smaller than the sum of its proper divisors (136149110192).

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

90186079840 is a wasteful number, since it uses less digits than its factorization.

90186079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950440 (or 1950415 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 90186079840 in words is "ninety billion, one hundred eighty-six million, seventy-nine thousand, eight hundred forty".