90346368 has 256 divisors, whose sum is σ = 303552000. Its totient is φ = 23224320.

The previous prime is 90346363. The next prime is 90346379. The reversal of 90346368 is 86364309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90346363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481058 + ... + 1481118.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^90346368 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 90346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

90346368 is an abundant number, since it is smaller than the sum of its proper divisors (213205632).

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

90346368 is a wasteful number, since it uses less digits than its factorization.

90346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 90346368 is about 9505.0706467653. The cubic root of 90346368 is about 448.7146332465.

The spelling of 90346368 in words is "ninety million, three hundred forty-six thousand, three hundred sixty-eight".