90871872 has 168 divisors, whose sum is σ = 301605696. Its totient is φ = 23933952.

The previous prime is 90871871. The next prime is 90871903. The reversal of 90871872 is 27817809.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90871871) 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, 121933 + ... + 122675.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272).

Almost surely, 2^90871872 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 90871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150802848).

90871872 is an abundant number, since it is smaller than the sum of its proper divisors (210733824).

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

90871872 is a wasteful number, since it uses less digits than its factorization.

90871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 90871872 is about 9532.6739165881. The cubic root of 90871872 is about 449.5829419869.

The spelling of 90871872 in words is "ninety million, eight hundred seventy-one thousand, eight hundred seventy-two".