1972656 has 120 divisors (see below), whose sum is σ = 6705920. Its totient is φ = 528768.

The previous prime is 1972651. The next prime is 1972657. The reversal of 1972656 is 6562791.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1972656.

It is not an unprimeable number, because it can be changed into a prime (1972651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19101 + ... + 19203.

2^1972656 is an apocalyptic number.

1972656 is a gapful number since it is divisible by the number (16) 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 1972656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352960).

1972656 is an abundant number, since it is smaller than the sum of its proper divisors (4733264).

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

1972656 is a wasteful number, since it uses less digits than its factorization.

1972656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1972656 is about 1404.5127268914. The cubic root of 1972656 is about 125.4152801447.

It can be divided in two parts, 1972 and 656, that added together give a triangular number (2628 = T₇₂).

The spelling of 1972656 in words is "one million, nine hundred seventy-two thousand, six hundred fifty-six".