19672560 has 120 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 5170176.

The previous prime is 19672537. The next prime is 19672573. The reversal of 19672560 is 6527691.

19672560 is a `hidden beast` number, since 1 + 96 + 7 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 63927 + ... + 64233.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^19672560 is an apocalyptic number.

19672560 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 19672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

19672560 is an abundant number, since it is smaller than the sum of its proper divisors (47354400).

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

19672560 is a wasteful number, since it uses less digits than its factorization.

19672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 19672560 is about 4435.3759705351. The cubic root of 19672560 is about 269.9522549321.

The spelling of 19672560 in words is "nineteen million, six hundred seventy-two thousand, five hundred sixty".