220714880 has 64 divisors (see below), whose sum is σ = 530604000. Its totient is φ = 87791616.

The previous prime is 220714847. The next prime is 220714883. The reversal of 220714880 is 88417022.

220714880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220714883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126494 + ... + 128226.

Almost surely, 2^220714880 is an apocalyptic number.

220714880 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 220714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265302000).

220714880 is an abundant number, since it is smaller than the sum of its proper divisors (309889120).

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

220714880 is a wasteful number, since it uses less digits than its factorization.

220714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 220714880 is about 14856.4760289915. The cubic root of 220714880 is about 604.3342447762.

The spelling of 220714880 in words is "two hundred twenty million, seven hundred fourteen thousand, eight hundred eighty".