20601600 has 216 divisors, whose sum is σ = 72234960. Its totient is φ = 5160960.

The previous prime is 20601593. The next prime is 20601613. The reversal of 20601600 is 610602.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20601600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556782 + ... + 556818.

Almost surely, 2^20601600 is an apocalyptic number.

20601600 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 20601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36117480).

20601600 is an abundant number, since it is smaller than the sum of its proper divisors (51633360).

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

20601600 is a wasteful number, since it uses less digits than its factorization.

20601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20601600 is about 4538.8985448014. The cubic root of 20601600 is about 274.1365756689.

The spelling of 20601600 in words is "twenty million, six hundred one thousand, six hundred".