62641680 has 80 divisors (see below), whose sum is σ = 195267264. Its totient is φ = 16611840.

The previous prime is 62641639. The next prime is 62641681. The reversal of 62641680 is 8614626.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (62641681) 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, 50022 + ... + 51258.

Almost surely, 2^62641680 is an apocalyptic number.

62641680 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 62641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97633632).

62641680 is an abundant number, since it is smaller than the sum of its proper divisors (132625584).

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

62641680 is a wasteful number, since it uses less digits than its factorization.

62641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

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

The square root of 62641680 is about 7914.6497079782. The cubic root of 62641680 is about 397.1499073281.

The spelling of 62641680 in words is "sixty-two million, six hundred forty-one thousand, six hundred eighty".