19642920 has 128 divisors (see below), whose sum is σ = 67184640. Its totient is φ = 4547840.

The previous prime is 19642919. The next prime is 19642949. The reversal of 19642920 is 2924691.

It is a super-2 number, since 2×19642920² = 771688612252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30037 + ... + 30683.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 2^19642920 is an apocalyptic number.

19642920 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 19642920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592320).

19642920 is an abundant number, since it is smaller than the sum of its proper divisors (47541720).

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

19642920 is a wasteful number, since it uses less digits than its factorization.

19642920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 19642920 is about 4432.0333933760. The cubic root of 19642920 is about 269.8166107204.

It can be divided in two parts, 1964 and 2920, that added together give a palindrome (4884).

The spelling of 19642920 in words is "nineteen million, six hundred forty-two thousand, nine hundred twenty".