20119680 has 192 divisors, whose sum is σ = 79560000. Its totient is φ = 4589568.

The previous prime is 20119661. The next prime is 20119681. The reversal of 20119680 is 8691102.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (20119681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40071 + ... + 40569.

It is an arithmetic number, because the mean of its divisors is an integer number (414375).

Almost surely, 2^20119680 is an apocalyptic number.

20119680 is a gapful number since it is divisible by the number (20) 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 20119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39780000).

20119680 is an abundant number, since it is smaller than the sum of its proper divisors (59440320).

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

20119680 is a wasteful number, since it uses less digits than its factorization.

20119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20119680 is about 4485.4966280224. The cubic root of 20119680 is about 271.9821210855.

It can be divided in two parts, 201 and 19680, that added together give a square (19881 = 141²).

The spelling of 20119680 in words is "twenty million, one hundred nineteen thousand, six hundred eighty".