62528640 has 128 divisors (see below), whose sum is σ = 206366400. Its totient is φ = 16084992.

The previous prime is 62528633. The next prime is 62528681. The reversal of 62528640 is 4682526.

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

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, 55119 + ... + 56241.

Almost surely, 2^62528640 is an apocalyptic number.

62528640 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 62528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103183200).

62528640 is an abundant number, since it is smaller than the sum of its proper divisors (143837760).

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

62528640 is a wasteful number, since it uses less digits than its factorization.

62528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 62528640 is about 7907.5052956037. The cubic root of 62528640 is about 396.9108712901.

The spelling of 62528640 in words is "sixty-two million, five hundred twenty-eight thousand, six hundred forty".