56070 has 48 divisors (see below), whose sum is σ = 168480. Its totient is φ = 12672.

The previous prime is 56053. The next prime is 56081. The reversal of 56070 is 7065.

56070 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁵⁶⁰⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

56070 is an abundant number, since it is smaller than the sum of its proper divisors (112410).

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

56070 is a wasteful number, since it uses less digits than its factorization.

56070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 56070 is about 236.7910471281. The cubic root of 56070 is about 38.2745581111.

Adding to 56070 its product of nonzero digits (210), we get a triangular number (56280 = T₃₃₅).

It can be divided in two parts, 560 and 70, that added together give a triangular number (630 = T₃₅).

The spelling of 56070 in words is "fifty-six thousand, seventy".