61146384 has 160 divisors (see below), whose sum is σ = 183321600. Its totient is φ = 17418240.

The previous prime is 61146383. The next prime is 61146403. The reversal of 61146384 is 48364116.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61146383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560922 + ... + 561030.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^61146384 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 61146384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91660800).

61146384 is an abundant number, since it is smaller than the sum of its proper divisors (122175216).

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

61146384 is a wasteful number, since it uses less digits than its factorization.

61146384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 61146384 is about 7819.6153358078. The cubic root of 61146384 is about 393.9643521219.

The spelling of 61146384 in words is "sixty-one million, one hundred forty-six thousand, three hundred eighty-four".