20152800 has 180 divisors, whose sum is σ = 73729656. Its totient is φ = 5356800.

The previous prime is 20152799. The next prime is 20152819. The reversal of 20152800 is 825102.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×20152800² = 812270695680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64645 + ... + 64955.

Almost surely, 2^20152800 is an apocalyptic number.

20152800 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 20152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864828).

20152800 is an abundant number, since it is smaller than the sum of its proper divisors (53576856).

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

20152800 is a wasteful number, since it uses less digits than its factorization.

20152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20152800 is about 4489.1870088024. The cubic root of 20152800 is about 272.1312803415.

Adding to 20152800 its reverse (825102), we get a palindrome (20977902).

The spelling of 20152800 in words is "twenty million, one hundred fifty-two thousand, eight hundred".