61645800 has 96 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 16289280.

The previous prime is 61645781. The next prime is 61645817. The reversal of 61645800 is 854616.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75796 + ... + 76604.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^61645800 is an apocalyptic number.

61645800 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 61645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

61645800 is an abundant number, since it is smaller than the sum of its proper divisors (131199000).

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

61645800 is a wasteful number, since it uses less digits than its factorization.

61645800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61645800 is about 7851.4839361741. The cubic root of 61645800 is about 395.0340193955.

The spelling of 61645800 in words is "sixty-one million, six hundred forty-five thousand, eight hundred".