61682560 has 64 divisors (see below), whose sum is σ = 152265600. Its totient is φ = 23869440.

The previous prime is 61682557. The next prime is 61682561. The reversal of 61682560 is 6528616.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61682561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18286 + ... + 21394.

It is an arithmetic number, because the mean of its divisors is an integer number (2379150).

Almost surely, 2^61682560 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 61682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76132800).

61682560 is an abundant number, since it is smaller than the sum of its proper divisors (90583040).

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

61682560 is a wasteful number, since it uses less digits than its factorization.

61682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 61682560 is about 7853.8245460412. The cubic root of 61682560 is about 395.1125246901.

The spelling of 61682560 in words is "sixty-one million, six hundred eighty-two thousand, five hundred sixty".