21777140 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 6664320.

The previous prime is 21777139. The next prime is 21777149. The reversal of 21777140 is 4177712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21777149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121571 + ... + 121749.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^21777140 is an apocalyptic number.

21777140 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 21777140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

21777140 is an abundant number, since it is smaller than the sum of its proper divisors (36283660).

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

21777140 is a wasteful number, since it uses less digits than its factorization.

21777140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 21777140 is about 4666.5983328330. The cubic root of 21777140 is about 279.2545648316.

The spelling of 21777140 in words is "twenty-one million, seven hundred seventy-seven thousand, one hundred forty".