62766560 has 96 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 24053760.

The previous prime is 62766553. The next prime is 62766589. The reversal of 62766560 is 6566726.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575786 + ... + 575894.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^62766560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

62766560 is an abundant number, since it is smaller than the sum of its proper divisors (91911040).

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

62766560 is a wasteful number, since it uses less digits than its factorization.

62766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 62766560 is about 7922.5349478560. The cubic root of 62766560 is about 397.4136463130.

The spelling of 62766560 in words is "sixty-two million, seven hundred sixty-six thousand, five hundred sixty".