61146792 has 128 divisors (see below), whose sum is σ = 199545600. Its totient is φ = 16982784.

The previous prime is 61146791. The next prime is 61146793. The reversal of 61146792 is 29764116.

It is an interprime number because it is at equal distance from previous prime (61146791) and next prime (61146793).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (61146791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55398 + ... + 56490.

It is an arithmetic number, because the mean of its divisors is an integer number (1558950).

Almost surely, 2^61146792 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 61146792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99772800).

61146792 is an abundant number, since it is smaller than the sum of its proper divisors (138398808).

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

61146792 is a wasteful number, since it uses less digits than its factorization.

61146792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 61146792 is about 7819.6414240040. The cubic root of 61146792 is about 393.9652283640.

The spelling of 61146792 in words is "sixty-one million, one hundred forty-six thousand, seven hundred ninety-two".