61682800 has 120 divisors (see below), whose sum is σ = 161078976. Its totient is φ = 22609920.

The previous prime is 61682767. The next prime is 61682833. The reversal of 61682800 is 828616.

61682800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61682767) and next prime (61682833).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319504 + ... + 319696.

Almost surely, 2^61682800 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 61682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80539488).

61682800 is an abundant number, since it is smaller than the sum of its proper divisors (99396176).

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

61682800 is a wasteful number, since it uses less digits than its factorization.

61682800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 61682800 is about 7853.8398252065. The cubic root of 61682800 is about 395.1130371358.

The spelling of 61682800 in words is "sixty-one million, six hundred eighty-two thousand, eight hundred".