90413092 has 48 divisors (see below), whose sum is σ = 205857792. Its totient is φ = 33691680.

The previous prime is 90413027. The next prime is 90413107. The reversal of 90413092 is 29031409.

It is a happy number.

90413092 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 90413092.

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 15 ways as a sum of consecutive naturals, for example, 703 + ... + 13465.

It is an arithmetic number, because the mean of its divisors is an integer number (4288704).

Almost surely, 2^90413092 is an apocalyptic number.

90413092 is a gapful number since it is divisible by the number (92) 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 90413092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102928896).

90413092 is an abundant number, since it is smaller than the sum of its proper divisors (115444700).

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

90413092 is a wasteful number, since it uses less digits than its factorization.

90413092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 90413092 is about 9508.5799150031. The cubic root of 90413092 is about 448.8250699591.

The spelling of 90413092 in words is "ninety million, four hundred thirteen thousand, ninety-two".