88456 has 8 divisors (see below), whose sum is σ = 165870. Its totient is φ = 44224.

The previous prime is 88427. The next prime is 88463. The reversal of 88456 is 65488.

88456 is nontrivially palindromic in base 12.

88456 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 4356 = 290^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5521 + ... + 5536.

2⁸⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

88456 is a deficient number, since it is larger than the sum of its proper divisors (77414).

88456 is a wasteful number, since it uses less digits than its factorization.

88456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11059 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 88456 is about 297.4155342278. The cubic root of 88456 is about 44.5562978916.

It can be divided in two parts, 8 and 8456, that added together give a square (8464 = 92²).

The spelling of 88456 in words is "eighty-eight thousand, four hundred fifty-six".