125664 has 96 divisors (see below), whose sum is σ = 435456. Its totient is φ = 30720.

The previous prime is 125659. The next prime is 125669. The reversal of 125664 is 466521.

It is an interprime number because it is at equal distance from previous prime (125659) and next prime (125669).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1440) is a multiple of the sum of its prime divisors (40).

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 125664.

It is not an unprimeable number, because it can be changed into a prime (125669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7384 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2¹²⁵⁶⁶⁴ is an apocalyptic number.

125664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

125664 is an abundant number, since it is smaller than the sum of its proper divisors (309792).

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

125664 is a wasteful number, since it uses less digits than its factorization.

125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 125664 is about 354.4911846577. The cubic root of 125664 is about 50.0883770313.

The spelling of 125664 in words is "one hundred twenty-five thousand, six hundred sixty-four".