61460112 has 80 divisors (see below), whose sum is σ = 185206400. Its totient is φ = 17555328.

The previous prime is 61460099. The next prime is 61460129. The reversal of 61460112 is 21106416.

61460112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14598 + ... + 18330.

It is an arithmetic number, because the mean of its divisors is an integer number (2315080).

Almost surely, 2^61460112 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 61460112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92603200).

61460112 is an abundant number, since it is smaller than the sum of its proper divisors (123746288).

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

61460112 is a wasteful number, since it uses less digits than its factorization.

61460112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61460112 is about 7839.6499921872. The cubic root of 61460112 is about 394.6369831482.

Adding to 61460112 its reverse (21106416), we get a palindrome (82566528).

It can be divided in two parts, 614 and 60112, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 61460112 in words is "sixty-one million, four hundred sixty thousand, one hundred twelve".