90913826240 has 112 divisors (see below), whose sum is σ = 219857714208. Its totient is φ = 35801432064.

The previous prime is 90913826239. The next prime is 90913826287. The reversal of 90913826240 is 4262831909.

It is a junction number, because it is equal to n+sod(n) for n = 90913826191 and 90913826200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13849199 + ... + 13855761.

Almost surely, 2^90913826240 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 90913826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109928857104).

90913826240 is an abundant number, since it is smaller than the sum of its proper divisors (128943887968).

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

90913826240 is a wasteful number, since it uses less digits than its factorization.

90913826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 90913826240 in words is "ninety billion, nine hundred thirteen million, eight hundred twenty-six thousand, two hundred forty".