62220960 has 120 divisors (see below), whose sum is σ = 219633876. Its totient is φ = 16588800.

The previous prime is 62220959. The next prime is 62220971. The reversal of 62220960 is 6902226.

62220960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62157456 + 63504 = 7884^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10560 + ... + 15360.

Almost surely, 2^62220960 is an apocalyptic number.

62220960 is a gapful number since it is divisible by the number (60) 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 62220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109816938).

62220960 is an abundant number, since it is smaller than the sum of its proper divisors (157412916).

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

62220960 is a wasteful number, since it uses less digits than its factorization.

62220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 62220960 is about 7888.0263691243. The cubic root of 62220960 is about 396.2587840171.

The spelling of 62220960 in words is "sixty-two million, two hundred twenty thousand, nine hundred sixty".