1972296 has 64 divisors (see below), whose sum is σ = 5731200. Its totient is φ = 627264.

The previous prime is 1972291. The next prime is 1972297. The reversal of 1972296 is 6922791.

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 1972296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4770 + ... + 5166.

It is an arithmetic number, because the mean of its divisors is an integer number (89550).

2^1972296 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 1972296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865600).

1972296 is an abundant number, since it is smaller than the sum of its proper divisors (3758904).

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

1972296 is a wasteful number, since it uses less digits than its factorization.

1972296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 1972296 is about 1404.3845627178. The cubic root of 1972296 is about 125.4076504570.

The spelling of 1972296 in words is "one million, nine hundred seventy-two thousand, two hundred ninety-six".