956400 has 60 divisors (see below), whose sum is σ = 3067512. Its totient is φ = 254720.

The previous prime is 956399. The next prime is 956401. The reversal of 956400 is 4659.

It is an interprime number because it is at equal distance from previous prime (956399) and next prime (956401).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802 + ... + 1598.

2⁹⁵⁶⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533756).

956400 is an abundant number, since it is smaller than the sum of its proper divisors (2111112).

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

956400 is a wasteful number, since it uses less digits than its factorization.

956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 956400 is about 977.9570542718. The cubic root of 956400 is about 98.5250179093.

The spelling of 956400 in words is "nine hundred fifty-six thousand, four hundred".