20083680 has 96 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 5354496.

The previous prime is 20083667. The next prime is 20083697. The reversal of 20083680 is 8638002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996 + ... + 6644.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^20083680 is an apocalyptic number.

20083680 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 20083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154000).

20083680 is an abundant number, since it is smaller than the sum of its proper divisors (50224320).

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

20083680 is a wasteful number, since it uses less digits than its factorization.

20083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20083680 is about 4481.4818977655. The cubic root of 20083680 is about 271.8198056802.

The spelling of 20083680 in words is "twenty million, eighty-three thousand, six hundred eighty".