61451168 has 48 divisors (see below), whose sum is σ = 129820320. Its totient is φ = 28544256.

The previous prime is 61451161. The next prime is 61451179. The reversal of 61451168 is 86115416.

61451168 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 (32).

It is not an unprimeable number, because it can be changed into a prime (61451161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31271 + ... + 33177.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 2^61451168 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 61451168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64910160).

61451168 is an abundant number, since it is smaller than the sum of its proper divisors (68369152).

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

61451168 is a wasteful number, since it uses less digits than its factorization.

61451168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1981 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 61451168 is about 7839.0795378029. The cubic root of 61451168 is about 394.6178390003.

The spelling of 61451168 in words is "sixty-one million, four hundred fifty-one thousand, one hundred sixty-eight".