90346784 has 96 divisors (see below), whose sum is σ = 204374016. Its totient is φ = 38949120.

The previous prime is 90346757. The next prime is 90346787. The reversal of 90346784 is 48764309.

It is not an unprimeable number, because it can be changed into a prime (90346787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711329 + ... + 711455.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 2^90346784 is an apocalyptic number.

90346784 is a gapful number since it is divisible by the number (94) 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 90346784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008).

90346784 is an abundant number, since it is smaller than the sum of its proper divisors (114027232).

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

90346784 is a wasteful number, since it uses less digits than its factorization.

90346784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 90346784 is about 9505.0925297969. The cubic root of 90346784 is about 448.7153219479.

The spelling of 90346784 in words is "ninety million, three hundred forty-six thousand, seven hundred eighty-four".