88407 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 49680.

The previous prime is 88397. The next prime is 88411. The reversal of 88407 is 70488.

It is a happy number.

It is not a de Polignac number, because 88407 - 2¹⁰ = 87383 is a prime.

88407 is a modest number, since divided by 407 gives 88 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88407.

It is not an unprimeable number, because it can be changed into a prime (88427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858 + ... + 1904.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁸⁸⁴⁰⁷ is an apocalyptic number.

88407 is a deficient number, since it is larger than the sum of its proper divisors (61353).

88407 is a wasteful number, since it uses less digits than its factorization.

88407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 88407 is about 297.3331464872. Note that the first 3 decimals coincide. The cubic root of 88407 is about 44.5480690854.

The spelling of 88407 in words is "eighty-eight thousand, four hundred seven".