90949680 has 120 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 23831040.

The previous prime is 90949673. The next prime is 90949681. The reversal of 90949680 is 8694909.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90949681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41410 + ... + 43550.

It is an arithmetic number, because the mean of its divisors is an integer number (2589678).

Almost surely, 2^90949680 is an apocalyptic number.

90949680 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 90949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

90949680 is an abundant number, since it is smaller than the sum of its proper divisors (219811680).

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

90949680 is a wasteful number, since it uses less digits than its factorization.

90949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90949680 is about 9536.7541648089. The cubic root of 90949680 is about 449.7112221300.

The spelling of 90949680 in words is "ninety million, nine hundred forty-nine thousand, six hundred eighty".