1972560 has 40 divisors (see below), whose sum is σ = 6115680. Its totient is φ = 525952.

The previous prime is 1972541. The next prime is 1972567. The reversal of 1972560 is 652791.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3870 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (152892).

2^1972560 is an apocalyptic number.

1972560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972560 is an abundant number, since it is smaller than the sum of its proper divisors (4143120).

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

1972560 is a wasteful number, since it uses less digits than its factorization.

1972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1972560 is about 1404.4785509220. The cubic root of 1972560 is about 125.4132456521.

The spelling of 1972560 in words is "one million, nine hundred seventy-two thousand, five hundred sixty".