90049872 has 80 divisors (see below), whose sum is σ = 262572480. Its totient is φ = 26342400.

The previous prime is 90049859. The next prime is 90049877. The reversal of 90049872 is 27894009.

It is a self number, because there is not a number n which added to its sum of digits gives 90049872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90049877) 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, 12372 + ... + 18252.

It is an arithmetic number, because the mean of its divisors is an integer number (3282156).

Almost surely, 2^90049872 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 90049872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131286240).

90049872 is an abundant number, since it is smaller than the sum of its proper divisors (172522608).

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

90049872 is a wasteful number, since it uses less digits than its factorization.

90049872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 90049872 is about 9489.4611016643. The cubic root of 90049872 is about 448.2232358957.

The spelling of 90049872 in words is "ninety million, forty-nine thousand, eight hundred seventy-two".