20461600 has 36 divisors (see below), whose sum is σ = 49953834. Its totient is φ = 8184320.

The previous prime is 20461579. The next prime is 20461603. The reversal of 20461600 is 616402.

It can be written as a sum of positive squares in 3 ways, for example, as 9412624 + 11048976 = 3068^2 + 3324^2 .

It is not an unprimeable number, because it can be changed into a prime (20461603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11989 + ... + 13588.

Almost surely, 2^20461600 is an apocalyptic number.

20461600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20461600 is an abundant number, since it is smaller than the sum of its proper divisors (29492234).

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

20461600 is a wasteful number, since it uses less digits than its factorization.

20461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25597 (or 25584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20461600 is about 4523.4500107772. The cubic root of 20461600 is about 273.5141905703.

The spelling of 20461600 in words is "twenty million, four hundred sixty-one thousand, six hundred".