89250672 has 80 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 24389376.

The previous prime is 89250659. The next prime is 89250683. The reversal of 89250672 is 27605298.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89250672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1954 + ... + 13502.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^89250672 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 89250672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

89250672 is an abundant number, since it is smaller than the sum of its proper divisors (185731728).

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

89250672 is a wasteful number, since it uses less digits than its factorization.

89250672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11590 (or 11584 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 89250672 is about 9447.2573797902. The cubic root of 89250672 is about 446.8932876406.

The spelling of 89250672 in words is "eighty-nine million, two hundred fifty thousand, six hundred seventy-two".