88635 has 16 divisors (see below), whose sum is σ = 149760. Its totient is φ = 44640.

The previous prime is 88609. The next prime is 88643. The reversal of 88635 is 53688.

It is not a de Polignac number, because 88635 - 2⁸ = 88379 is a prime.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁸⁸⁶³⁵ is an apocalyptic number.

88635 is a deficient number, since it is larger than the sum of its proper divisors (61125).

88635 is a wasteful number, since it uses less digits than its factorization.

88635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338.

The product of its digits is 5760, while the sum is 30.

The square root of 88635 is about 297.7163079175. The cubic root of 88635 is about 44.5863324231.

Adding to 88635 its product of digits (5760), we get a triangular number (94395 = T₄₃₄).

The spelling of 88635 in words is "eighty-eight thousand, six hundred thirty-five".