20245680 has 320 divisors, whose sum is σ = 86661120. Its totient is φ = 4230144.

The previous prime is 20245679. The next prime is 20245699. The reversal of 20245680 is 8654202.

20245680 is a `hidden beast` number, since 202 + 456 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196509 + ... + 196611.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^20245680 is an apocalyptic number.

20245680 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 20245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

20245680 is an abundant number, since it is smaller than the sum of its proper divisors (66415440).

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

20245680 is a wasteful number, since it uses less digits than its factorization.

20245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20245680 is about 4499.5199743973. The cubic root of 20245680 is about 272.5487049267.

Adding to 20245680 its reverse (8654202), we get a palindrome (28899882).

The spelling of 20245680 in words is "twenty million, two hundred forty-five thousand, six hundred eighty".