90993408 has 72 divisors (see below), whose sum is σ = 264215616. Its totient is φ = 27571200.

The previous prime is 90993377. The next prime is 90993439. The reversal of 90993408 is 80439909.

It is an interprime number because it is at equal distance from previous prime (90993377) and next prime (90993439).

It is a self number, because there is not a number n which added to its sum of digits gives 90993408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3063 + ... + 13833.

Almost surely, 2^90993408 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 90993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132107808).

90993408 is an abundant number, since it is smaller than the sum of its proper divisors (173222208).

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

90993408 is a wasteful number, since it uses less digits than its factorization.

90993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801 (or 10787 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 90993408 is about 9539.0464932298. The cubic root of 90993408 is about 449.7832833019.

The spelling of 90993408 in words is "ninety million, nine hundred ninety-three thousand, four hundred eight".