96876 has 60 divisors (see below), whose sum is σ = 284592. Its totient is φ = 28512.

The previous prime is 96857. The next prime is 96893. The reversal of 96876 is 67869.

96876 = T₇₃ + T₇₄ + ... + T₉₈.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4201 + ... + 4223.

2⁹⁶⁸⁷⁶ is an apocalyptic number.

96876 is the 156-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142296).

96876 is an abundant number, since it is smaller than the sum of its proper divisors (187716).

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

96876 is a wasteful number, since it uses less digits than its factorization.

96876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

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

The square root of 96876 is about 311.2490963842. The cubic root of 96876 is about 45.9274217791.

The spelling of 96876 in words is "ninety-six thousand, eight hundred seventy-six".