20764400 has 120 divisors (see below), whose sum is σ = 54338784. Its totient is φ = 7603200.

The previous prime is 20764369. The next prime is 20764421. The reversal of 20764400 is 446702.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 340370 + ... + 340430.

Almost surely, 2^20764400 is an apocalyptic number.

20764400 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 20764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27169392).

20764400 is an abundant number, since it is smaller than the sum of its proper divisors (33574384).

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

20764400 is a wasteful number, since it uses less digits than its factorization.

20764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 20764400 is about 4556.7971207856. The cubic root of 20764400 is about 274.8567849332.

The spelling of 20764400 in words is "twenty million, seven hundred sixty-four thousand, four hundred".