1972840 has 64 divisors (see below), whose sum is σ = 4815360. Its totient is φ = 725760.

The previous prime is 1972829. The next prime is 1972847. The reversal of 1972840 is 482791.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1972847) 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, 45859 + ... + 45901.

It is an arithmetic number, because the mean of its divisors is an integer number (75240).

2^1972840 is an apocalyptic number.

1972840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1972840 is the 1147-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407680).

1972840 is an abundant number, since it is smaller than the sum of its proper divisors (2842520).

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

1972840 is a wasteful number, since it uses less digits than its factorization.

1972840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1972840 is about 1404.5782285085. The cubic root of 1972840 is about 125.4191794044.

The spelling of 1972840 in words is "one million, nine hundred seventy-two thousand, eight hundred forty".