19957120 has 32 divisors (see below), whose sum is σ = 47711520. Its totient is φ = 7982592.

The previous prime is 19957111. The next prime is 19957127. The reversal of 19957120 is 2175991.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19957127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14952 + ... + 16231.

It is an arithmetic number, because the mean of its divisors is an integer number (1490985).

Almost surely, 2^19957120 is an apocalyptic number.

19957120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19957120 is an abundant number, since it is smaller than the sum of its proper divisors (27754400).

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

19957120 is an equidigital number, since it uses as much as digits as its factorization.

19957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31202 (or 31190 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 19957120 is about 4467.3392528439. The cubic root of 19957120 is about 271.2476324767.

The spelling of 19957120 in words is "nineteen million, nine hundred fifty-seven thousand, one hundred twenty".