70956 has 36 divisors (see below), whose sum is σ = 188552. Its totient is φ = 23328.

The previous prime is 70951. The next prime is 70957. The reversal of 70956 is 65907.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70951) by changing a digit.

70956 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936 + ... + 1008.

2⁷⁰⁹⁵⁶ 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 70956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94276).

70956 is an abundant number, since it is smaller than the sum of its proper divisors (117596).

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

70956 is a wasteful number, since it uses less digits than its factorization.

70956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 70956 is about 266.3756745651. The cubic root of 70956 is about 41.3996219247.

70956 divided by its sum of digits (27) gives a triangular number (2628 = T₇₂).

The spelling of 70956 in words is "seventy thousand, nine hundred fifty-six".