87238620 has 240 divisors, whose sum is σ = 321182400. Its totient is φ = 19813248.

The previous prime is 87238579. The next prime is 87238621. The reversal of 87238620 is 2683278.

It is a happy number.

87238620 is a `hidden beast` number, since 8 + 7 + 23 + 8 + 620 = 666.

It is a super-2 number, since 2×87238620² = 15221153639008800, which contains 22 as substring.

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 (87238621) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 555582 + ... + 555738.

It is an arithmetic number, because the mean of its divisors is an integer number (1338260).

Almost surely, 2^87238620 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 87238620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160591200).

87238620 is an abundant number, since it is smaller than the sum of its proper divisors (233943780).

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

87238620 is a wasteful number, since it uses less digits than its factorization.

87238620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87238620 is about 9340.1616688364. The cubic root of 87238620 is about 443.5095021620.

The spelling of 87238620 in words is "eighty-seven million, two hundred thirty-eight thousand, six hundred twenty".