61814800 has 60 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 23647360.

The previous prime is 61814789. The next prime is 61814807. The reversal of 61814800 is 841816.

It is not an unprimeable number, because it can be changed into a prime (61814807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5841 + ... + 12559.

It is an arithmetic number, because the mean of its divisors is an integer number (2583168).

Almost surely, 2^61814800 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 61814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

61814800 is an abundant number, since it is smaller than the sum of its proper divisors (93175280).

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

61814800 is a wasteful number, since it uses less digits than its factorization.

61814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 61814800 is about 7862.2388668877. The cubic root of 61814800 is about 395.3946810817.

The spelling of 61814800 in words is "sixty-one million, eight hundred fourteen thousand, eight hundred".