90149216 has 24 divisors (see below), whose sum is σ = 180394704. Its totient is φ = 44334720.

The previous prime is 90149207. The next prime is 90149219. The reversal of 90149216 is 61294109.

It is a super-2 number, since 2×90149216² = 16253762290829312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90149219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21140 + ... + 25043.

It is an arithmetic number, because the mean of its divisors is an integer number (7516446).

Almost surely, 2^90149216 is an apocalyptic number.

It is an amenable number.

90149216 is an abundant number, since it is smaller than the sum of its proper divisors (90245488).

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

90149216 is a wasteful number, since it uses less digits than its factorization.

90149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46254 (or 46246 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 90149216 is about 9494.6940972314. The cubic root of 90149216 is about 448.3880035720.

The spelling of 90149216 in words is "ninety million, one hundred forty-nine thousand, two hundred sixteen".