87591420 has 108 divisors (see below), whose sum is σ = 309103704. Its totient is φ = 20018880.

The previous prime is 87591403. The next prime is 87591421. The reversal of 87591420 is 2419578.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87591421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3855 + ... + 13785.

Almost surely, 2^87591420 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 87591420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154551852).

87591420 is an abundant number, since it is smaller than the sum of its proper divisors (221512284).

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

87591420 is a wasteful number, since it uses less digits than its factorization.

87591420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 87591420 is about 9359.0287957672. The cubic root of 87591420 is about 444.1065607392.

The spelling of 87591420 in words is "eighty-seven million, five hundred ninety-one thousand, four hundred twenty".