61882200 has 144 divisors (see below), whose sum is σ = 214718400. Its totient is φ = 15955200.

The previous prime is 61882181. The next prime is 61882207. The reversal of 61882200 is 228816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61882207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55246 + ... + 56354.

It is an arithmetic number, because the mean of its divisors is an integer number (1491100).

Almost surely, 2^61882200 is an apocalyptic number.

61882200 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 61882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107359200).

61882200 is an abundant number, since it is smaller than the sum of its proper divisors (152836200).

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

61882200 is a wasteful number, since it uses less digits than its factorization.

61882200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61882200 is about 7866.5240100059. The cubic root of 61882200 is about 395.5383355762.

The spelling of 61882200 in words is "sixty-one million, eight hundred eighty-two thousand, two hundred".