1972356960 has 192 divisors, whose sum is σ = 7156283904. Its totient is φ = 447283200.

The previous prime is 1972356943. The next prime is 1972357003. The reversal of 1972356960 is 696532791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437920 + ... + 442400.

It is an arithmetic number, because the mean of its divisors is an integer number (37272312).

Almost surely, 2^1972356960 is an apocalyptic number.

1972356960 is a gapful number since it is divisible by the number (10) 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 1972356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578141952).

1972356960 is an abundant number, since it is smaller than the sum of its proper divisors (5183926944).

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

1972356960 is a wasteful number, since it uses less digits than its factorization.

1972356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 1972356960 is about 44411.2256079474. The cubic root of 1972356960 is about 1254.0894248273.

The spelling of 1972356960 in words is "one billion, nine hundred seventy-two million, three hundred fifty-six thousand, nine hundred sixty".