19973520 has 160 divisors (see below), whose sum is σ = 78685440. Its totient is φ = 4561920.

The previous prime is 19973501. The next prime is 19973539. The reversal of 19973520 is 2537991.

It is an interprime number because it is at equal distance from previous prime (19973501) and next prime (19973539).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 14460 + ... + 15780.

It is an arithmetic number, because the mean of its divisors is an integer number (491784).

Almost surely, 2^19973520 is an apocalyptic number.

19973520 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 19973520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39342720).

19973520 is an abundant number, since it is smaller than the sum of its proper divisors (58711920).

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

19973520 is a wasteful number, since it uses less digits than its factorization.

19973520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 19973520 is about 4469.1744204047. The cubic root of 19973520 is about 271.3219124530.

The spelling of 19973520 in words is "nineteen million, nine hundred seventy-three thousand, five hundred twenty".