19948680 has 160 divisors (see below), whose sum is σ = 68999040. Its totient is φ = 5166720.

The previous prime is 19948679. The next prime is 19948693. The reversal of 19948680 is 8684991.

19948680 is a `hidden beast` number, since 1 + 99 + 486 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152215 + ... + 152345.

It is an arithmetic number, because the mean of its divisors is an integer number (431244).

Almost surely, 2^19948680 is an apocalyptic number.

19948680 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 19948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499520).

19948680 is an abundant number, since it is smaller than the sum of its proper divisors (49050360).

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

19948680 is a wasteful number, since it uses less digits than its factorization.

19948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19948680 is about 4466.3945190724. The cubic root of 19948680 is about 271.2093896036.

The spelling of 19948680 in words is "nineteen million, nine hundred forty-eight thousand, six hundred eighty".