87819876 has 120 divisors (see below), whose sum is σ = 240683520. Its totient is φ = 27900288.

The previous prime is 87819839. The next prime is 87819899. The reversal of 87819876 is 67891878.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 1111605 + ... + 1111683.

It is an arithmetic number, because the mean of its divisors is an integer number (2005696).

Almost surely, 2^87819876 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 87819876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120341760).

87819876 is an abundant number, since it is smaller than the sum of its proper divisors (152863644).

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

87819876 is a wasteful number, since it uses less digits than its factorization.

87819876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 87819876 is about 9371.2259603533. The cubic root of 87819876 is about 444.4923318864.

The spelling of 87819876 in words is "eighty-seven million, eight hundred nineteen thousand, eight hundred seventy-six".