90291936 has 48 divisors (see below), whose sum is σ = 270877824. Its totient is φ = 25797504.

The previous prime is 90291923. The next prime is 90291937. The reversal of 90291936 is 63919209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 90291894 and 90291903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90291937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66510 + ... + 67853.

It is an arithmetic number, because the mean of its divisors is an integer number (5643288).

Almost surely, 2^90291936 is an apocalyptic number.

90291936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90291936 is an abundant number, since it is smaller than the sum of its proper divisors (180585888).

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

90291936 is a wasteful number, since it uses less digits than its factorization.

90291936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134383 (or 134375 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90291936 is about 9502.2069015571. The cubic root of 90291936 is about 448.6245010800.

The spelling of 90291936 in words is "ninety million, two hundred ninety-one thousand, nine hundred thirty-six".