90965408 has 48 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 43553280.

The previous prime is 90965389. The next prime is 90965411. The reversal of 90965408 is 80456909.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105716 + ... + 106572.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2^90965408 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 90965408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

90965408 is an abundant number, since it is smaller than the sum of its proper divisors (95845216).

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

90965408 is a wasteful number, since it uses less digits than its factorization.

90965408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 90965408 is about 9537.5787283776. The cubic root of 90965408 is about 449.7371436082.

The spelling of 90965408 in words is "ninety million, nine hundred sixty-five thousand, four hundred eight".