62081664 has 128 divisors (see below), whose sum is σ = 177561600. Its totient is φ = 19160064.

The previous prime is 62081659. The next prime is 62081681. The reversal of 62081664 is 46618026.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488769 + ... + 488895.

It is an arithmetic number, because the mean of its divisors is an integer number (1387200).

Almost surely, 2^62081664 is an apocalyptic number.

62081664 is a gapful number since it is divisible by the number (64) 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 62081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88780800).

62081664 is an abundant number, since it is smaller than the sum of its proper divisors (115479936).

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

62081664 is a wasteful number, since it uses less digits than its factorization.

62081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 62081664 is about 7879.1918367305. The cubic root of 62081664 is about 395.9628574489.

The spelling of 62081664 in words is "sixty-two million, eighty-one thousand, six hundred sixty-four".