956088 has 72 divisors (see below), whose sum is σ = 3023280. Its totient is φ = 272160.

The previous prime is 956083. The next prime is 956107. The reversal of 956088 is 880659.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956083) by changing a digit.

956088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3393 + ... + 3663.

It is an arithmetic number, because the mean of its divisors is an integer number (41990).

2⁹⁵⁶⁰⁸⁸ is an apocalyptic number.

956088 is a gapful number since it is divisible by the number (98) 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 956088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511640).

956088 is an abundant number, since it is smaller than the sum of its proper divisors (2067192).

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

956088 is a wasteful number, since it uses less digits than its factorization.

956088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 956088 is about 977.7975250531. The cubic root of 956088 is about 98.5143030240.

The spelling of 956088 in words is "nine hundred fifty-six thousand, eighty-eight".