62525664 has 72 divisors (see below), whose sum is σ = 179557560. Its totient is φ = 20636928.

The previous prime is 62525629. The next prime is 62525669. The reversal of 62525664 is 46652526.

62525664 is a `hidden beast` number, since 625 + 25 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×62525664³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62525669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29802 + ... + 31830.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2^62525664 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 62525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89778780).

62525664 is an abundant number, since it is smaller than the sum of its proper divisors (117031896).

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

62525664 is a wasteful number, since it uses less digits than its factorization.

62525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2141 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 62525664 is about 7907.3171177081. The cubic root of 62525664 is about 396.9045743063.

The spelling of 62525664 in words is "sixty-two million, five hundred twenty-five thousand, six hundred sixty-four".