6857956 has 36 divisors (see below), whose sum is σ = 14369152. Its totient is φ = 2805264.

The previous prime is 6857927. The next prime is 6857957. The reversal of 6857956 is 6597586.

6857956 is a nontrivial binomial coefficient, being equal to C(3704, 2).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (6857957) 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, 14581 + ... + 15043.

Almost surely, 2^6857956 is an apocalyptic number.

6857956 is the 3703-rd triangular number and also the 1852-nd hexagonal number.

6857956 is the 1235-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6857956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184576).

6857956 is an abundant number, since it is smaller than the sum of its proper divisors (7511196).

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

6857956 is a wasteful number, since it uses less digits than its factorization.

6857956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 495 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 6857956 is about 2618.7699402582. The cubic root of 6857956 is about 189.9903596217.

It can be divided in two parts, 68579 and 56, that added together give a triangular number (68635 = T₃₇₀).

The spelling of 6857956 in words is "six million, eight hundred fifty-seven thousand, nine hundred fifty-six".