20451600 has 360 divisors, whose sum is σ = 83952960. Its totient is φ = 4561920.

The previous prime is 20451593. The next prime is 20451601. The reversal of 20451600 is 615402.

It is a happy number.

20451600 is a `hidden beast` number, since 20 + 45 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20451601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 889189 + ... + 889211.

Almost surely, 2^20451600 is an apocalyptic number.

20451600 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 20451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976480).

20451600 is an abundant number, since it is smaller than the sum of its proper divisors (63501360).

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

20451600 is a wasteful number, since it uses less digits than its factorization.

20451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20451600 is about 4522.3445246907. The cubic root of 20451600 is about 273.4696259941.

The spelling of 20451600 in words is "twenty million, four hundred fifty-one thousand, six hundred".