90986040 has 96 divisors (see below), whose sum is σ = 313120080. Its totient is φ = 22834176.

The previous prime is 90986033. The next prime is 90986047. The reversal of 90986040 is 4068909.

It is an interprime number because it is at equal distance from previous prime (90986033) and next prime (90986047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90985986 and 90986004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90986047) 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 23 ways as a sum of consecutive naturals, for example, 1314 + ... + 13553.

Almost surely, 2^90986040 is an apocalyptic number.

90986040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156560040).

90986040 is an abundant number, since it is smaller than the sum of its proper divisors (222134040).

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

90986040 is a wasteful number, since it uses less digits than its factorization.

90986040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14901 (or 14894 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90986040 is about 9538.6602832893. The cubic root of 90986040 is about 449.7711428888.

The spelling of 90986040 in words is "ninety million, nine hundred eighty-six thousand, forty".