20860400 has 90 divisors (see below), whose sum is σ = 55215216. Its totient is φ = 7568000.

The previous prime is 20860397. The next prime is 20860403. The reversal of 20860400 is 406802.

It is an interprime number because it is at equal distance from previous prime (20860397) and next prime (20860403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20860403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48185 + ... + 48615.

Almost surely, 2^20860400 is an apocalyptic number.

20860400 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 20860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607608).

20860400 is an abundant number, since it is smaller than the sum of its proper divisors (34354816).

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

20860400 is a wasteful number, since it uses less digits than its factorization.

20860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20860400 is about 4567.3186882459. The cubic root of 20860400 is about 275.2797153919.

The spelling of 20860400 in words is "twenty million, eight hundred sixty thousand, four hundred".