90046320 has 480 divisors, whose sum is σ = 379975680. Its totient is φ = 17418240.

The previous prime is 90046267. The next prime is 90046321. The reversal of 90046320 is 2364009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90046321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2904705 + ... + 2904735.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^90046320 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 90046320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

90046320 is an abundant number, since it is smaller than the sum of its proper divisors (289929360).

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

90046320 is a wasteful number, since it uses less digits than its factorization.

90046320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 90046320 is about 9489.2739448284. The cubic root of 90046320 is about 448.2173424582.

The spelling of 90046320 in words is "ninety million, forty-six thousand, three hundred twenty".