61682256 has 160 divisors (see below), whose sum is σ = 193380480. Its totient is φ = 18745344.

The previous prime is 61682237. The next prime is 61682279. The reversal of 61682256 is 65228616.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61682256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271615 + ... + 271841.

It is an arithmetic number, because the mean of its divisors is an integer number (1208628).

Almost surely, 2^61682256 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 61682256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96690240).

61682256 is an abundant number, since it is smaller than the sum of its proper divisors (131698224).

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

61682256 is a wasteful number, since it uses less digits than its factorization.

61682256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 61682256 is about 7853.8051923892. The cubic root of 61682256 is about 395.1118755904. Note that the first 3 decimals are identical.

The spelling of 61682256 in words is "sixty-one million, six hundred eighty-two thousand, two hundred fifty-six".