61146880 has 144 divisors (see below), whose sum is σ = 160118784. Its totient is φ = 22302720.

The previous prime is 61146871. The next prime is 61146881. The reversal of 61146880 is 8864116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61146881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912607 + ... + 912673.

It is an arithmetic number, because the mean of its divisors is an integer number (1111936).

Almost surely, 2^61146880 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 61146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80059392).

61146880 is an abundant number, since it is smaller than the sum of its proper divisors (98971904).

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

61146880 is a wasteful number, since it uses less digits than its factorization.

61146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 61146880 is about 7819.6470508585. The cubic root of 61146880 is about 393.9654173568.

It can be divided in two parts, 61146 and 880, that added together give a palindrome (62026).

The spelling of 61146880 in words is "sixty-one million, one hundred forty-six thousand, eight hundred eighty".