20587200 has 84 divisors (see below), whose sum is σ = 67558920. Its totient is φ = 5488640.

The previous prime is 20587159. The next prime is 20587201. The reversal of 20587200 is 278502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20587201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2656 + ... + 6944.

Almost surely, 2^20587200 is an apocalyptic number.

20587200 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 20587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33779460).

20587200 is an abundant number, since it is smaller than the sum of its proper divisors (46971720).

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

20587200 is a wasteful number, since it uses less digits than its factorization.

20587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 20587200 is about 4537.3119795756. The cubic root of 20587200 is about 274.0726892588.

The spelling of 20587200 in words is "twenty million, five hundred eighty-seven thousand, two hundred".