90348832 has 48 divisors (see below), whose sum is σ = 204724800. Its totient is φ = 38446848.

The previous prime is 90348799. The next prime is 90348851. The reversal of 90348832 is 23884309.

It is a super-2 number, since 2×90348832² = 16325822887528448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90348791 and 90348800.

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, 32023 + ... + 34729.

It is an arithmetic number, because the mean of its divisors is an integer number (4265100).

Almost surely, 2^90348832 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 90348832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102362400).

90348832 is an abundant number, since it is smaller than the sum of its proper divisors (114375968).

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

90348832 is a wasteful number, since it uses less digits than its factorization.

90348832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 90348832 is about 9505.2002609098. The cubic root of 90348832 is about 448.7187124469.

The spelling of 90348832 in words is "ninety million, three hundred forty-eight thousand, eight hundred thirty-two".