19712880 has 240 divisors, whose sum is σ = 76602240. Its totient is φ = 4492800.

The previous prime is 19712879. The next prime is 19712933. The reversal of 19712880 is 8821791.

It is a tau number, because it is divible by the number of its divisors (240).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150415 + ... + 150545.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^19712880 is an apocalyptic number.

19712880 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 19712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

19712880 is an abundant number, since it is smaller than the sum of its proper divisors (56889360).

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

19712880 is a wasteful number, since it uses less digits than its factorization.

19712880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 19712880 is about 4439.9189181786. The cubic root of 19712880 is about 270.1365564374.

It can be divided in two parts, 1971 and 2880, that added together give a triangular number (4851 = T₉₈).

The spelling of 19712880 in words is "nineteen million, seven hundred twelve thousand, eight hundred eighty".