19722960 has 160 divisors (see below), whose sum is σ = 71066880. Its totient is φ = 5018112.

The previous prime is 19722949. The next prime is 19722971. The reversal of 19722960 is 6922791.

19722960 = 915² + 916² + ... + 937².

It is an interprime number because it is at equal distance from previous prime (19722949) and next prime (19722971).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 49482 + ... + 49878.

It is an arithmetic number, because the mean of its divisors is an integer number (444168).

Almost surely, 2^19722960 is an apocalyptic number.

19722960 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 19722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533440).

19722960 is an abundant number, since it is smaller than the sum of its proper divisors (51343920).

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

19722960 is a wasteful number, since it uses less digits than its factorization.

19722960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19722960 is about 4441.0539289678. The cubic root of 19722960 is about 270.1825925399.

The spelling of 19722960 in words is "nineteen million, seven hundred twenty-two thousand, nine hundred sixty".