87875820 has 96 divisors (see below), whose sum is σ = 274760640. Its totient is φ = 23316480.

The previous prime is 87875819. The next prime is 87875831. The reversal of 87875820 is 2857878.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190390 + ... + 190850.

It is an arithmetic number, because the mean of its divisors is an integer number (2862090).

Almost surely, 2^87875820 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 87875820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137380320).

87875820 is an abundant number, since it is smaller than the sum of its proper divisors (186884820).

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

87875820 is a wasteful number, since it uses less digits than its factorization.

87875820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 87875820 is about 9374.2103667456. The cubic root of 87875820 is about 444.5866970109.

The spelling of 87875820 in words is "eighty-seven million, eight hundred seventy-five thousand, eight hundred twenty".