87593792 has 112 divisors (see below), whose sum is σ = 216603072. Its totient is φ = 34529280.

The previous prime is 87593783. The next prime is 87593797. The reversal of 87593792 is 29739578.

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 87593792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87593797) 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, 155303 + ... + 155865.

It is an arithmetic number, because the mean of its divisors is an integer number (1933956).

Almost surely, 2^87593792 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 87593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108301536).

87593792 is an abundant number, since it is smaller than the sum of its proper divisors (129009280).

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

87593792 is a wasteful number, since it uses less digits than its factorization.

87593792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its digits is 952560, while the sum is 50.

The square root of 87593792 is about 9359.1555174599. The cubic root of 87593792 is about 444.1105695461.

The spelling of 87593792 in words is "eighty-seven million, five hundred ninety-three thousand, seven hundred ninety-two".