1972620 has 96 divisors (see below), whose sum is σ = 6632640. Its totient is φ = 483840.

The previous prime is 1972613. The next prime is 1972627. The reversal of 1972620 is 262791.

It is an interprime number because it is at equal distance from previous prime (1972613) and next prime (1972627).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6880 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (69090).

2^1972620 is an apocalyptic number.

1972620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1404×1405.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316320).

1972620 is an abundant number, since it is smaller than the sum of its proper divisors (4660020).

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

1972620 is a wasteful number, since it uses less digits than its factorization.

1972620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1972620 is about 1404.4999110004. The cubic root of 1972620 is about 125.4145172177.

The spelling of 1972620 in words is "one million, nine hundred seventy-two thousand, six hundred twenty".