19957968 has 40 divisors (see below), whose sum is σ = 57288000. Its totient is φ = 6652512.

The previous prime is 19957967. The next prime is 19957969. The reversal of 19957968 is 86975991.

19957968 is a `hidden beast` number, since 1 + 9 + 9 + 579 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (19957967) and next prime (19957969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19957967) 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, 22668 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 2^19957968 is an apocalyptic number.

19957968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19957968 is an abundant number, since it is smaller than the sum of its proper divisors (37330032).

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

19957968 is a wasteful number, since it uses less digits than its factorization.

19957968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46216 (or 46204 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19957968 is about 4467.4341629172. The cubic root of 19957968 is about 271.2514742924.

The spelling of 19957968 in words is "nineteen million, nine hundred fifty-seven thousand, nine hundred sixty-eight".