956736 has 84 divisors (see below), whose sum is σ = 3011424. Its totient is φ = 288000.

The previous prime is 956723. The next prime is 956749. The reversal of 956736 is 637659.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (956723) and next prime (956749).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (34020) is a multiple of the sum of its prime factors (180).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 956736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6261 + ... + 6411.

2⁹⁵⁶⁷³⁶ is an apocalyptic number.

956736 is a gapful number since it is divisible by the number (96) 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 956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505712).

956736 is an abundant number, since it is smaller than the sum of its proper divisors (2054688).

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

956736 is a wasteful number, since it uses less digits than its factorization.

956736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 956736 is about 978.1288258711. The cubic root of 956736 is about 98.5365544108.

The spelling of 956736 in words is "nine hundred fifty-six thousand, seven hundred thirty-six".