90346320 has 160 divisors (see below), whose sum is σ = 314384640. Its totient is φ = 23846400.

The previous prime is 90346301. The next prime is 90346337. The reversal of 90346320 is 2364309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 326022 + ... + 326298.

It is an arithmetic number, because the mean of its divisors is an integer number (1964904).

Almost surely, 2^90346320 is an apocalyptic number.

90346320 is a gapful number since it is divisible by the number (90) 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 90346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157192320).

90346320 is an abundant number, since it is smaller than the sum of its proper divisors (224038320).

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

90346320 is a wasteful number, since it uses less digits than its factorization.

90346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 90346320 is about 9505.0681217969. The cubic root of 90346320 is about 448.7145537808.

The spelling of 90346320 in words is "ninety million, three hundred forty-six thousand, three hundred twenty".