85877884 has 12 divisors (see below), whose sum is σ = 150381504. Its totient is φ = 42911744.

The previous prime is 85877881. The next prime is 85877887. The reversal of 85877884 is 48877858.

85877884 = T₇₅₆₅ + T₇₅₆₆ + T₇₅₆₇.

It is an interprime number because it is at equal distance from previous prime (85877881) and next prime (85877887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85877881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1404 + ... + 13180.

It is an arithmetic number, because the mean of its divisors is an integer number (12531792).

Almost surely, 2^85877884 is an apocalyptic number.

85877884 is the 7567-th centered triangular number.

It is an amenable number.

85877884 is a deficient number, since it is larger than the sum of its proper divisors (64503620).

85877884 is a wasteful number, since it uses less digits than its factorization.

85877884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13602 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 55.

The square root of 85877884 is about 9267.0321031062. The cubic root of 85877884 is about 441.1914745545.

It can be divided in two parts, 8587 and 7884, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 85877884 in words is "eighty-five million, eight hundred seventy-seven thousand, eight hundred eighty-four".