62641632 has 96 divisors (see below), whose sum is σ = 176238720. Its totient is φ = 19422720.

The previous prime is 62641619. The next prime is 62641633. The reversal of 62641632 is 23614626.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 62641632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62641633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110983 + ... + 111545.

It is an arithmetic number, because the mean of its divisors is an integer number (1835820).

Almost surely, 2^62641632 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 62641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88119360).

62641632 is an abundant number, since it is smaller than the sum of its proper divisors (113597088).

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

62641632 is a wasteful number, since it uses less digits than its factorization.

62641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 62641632 is about 7914.6466756261. The cubic root of 62641632 is about 397.1498058877.

The spelling of 62641632 in words is "sixty-two million, six hundred forty-one thousand, six hundred thirty-two".