20771400 has 96 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 5111040.

The previous prime is 20771383. The next prime is 20771411. The reversal of 20771400 is 417702.

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, 6469 + ... + 9131.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 2^20771400 is an apocalyptic number.

20771400 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 20771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

20771400 is an abundant number, since it is smaller than the sum of its proper divisors (48599160).

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

20771400 is a wasteful number, since it uses less digits than its factorization.

20771400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 20771400 is about 4557.5651394138. The cubic root of 20771400 is about 274.8876676192.

The spelling of 20771400 in words is "twenty million, seven hundred seventy-one thousand, four hundred".