61188400 has 180 divisors, whose sum is σ = 185449936. Its totient is φ = 18892800.

The previous prime is 61188383. The next prime is 61188401. The reversal of 61188400 is 488116.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (61188401) 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, 1492380 + ... + 1492420.

Almost surely, 2^61188400 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 61188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92724968).

61188400 is an abundant number, since it is smaller than the sum of its proper divisors (124261536).

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

61188400 is a wasteful number, since it uses less digits than its factorization.

61188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 68 counting only the distinct ones).

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

The square root of 61188400 is about 7822.3014516190. The cubic root of 61188400 is about 394.0545674120.

The spelling of 61188400 in words is "sixty-one million, one hundred eighty-eight thousand, four hundred".