87193620 has 72 divisors (see below), whose sum is σ = 267111936. Its totient is φ = 23020992.

The previous prime is 87193619. The next prime is 87193657. The reversal of 87193620 is 2639178.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16189 + ... + 20891.

It is an arithmetic number, because the mean of its divisors is an integer number (3709888).

Almost surely, 2^87193620 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 87193620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555968).

87193620 is an abundant number, since it is smaller than the sum of its proper divisors (179918316).

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

87193620 is a wasteful number, since it uses less digits than its factorization.

87193620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87193620 is about 9337.7524062271. The cubic root of 87193620 is about 443.4332310480.

The spelling of 87193620 in words is "eighty-seven million, one hundred ninety-three thousand, six hundred twenty".