61461288 has 96 divisors (see below), whose sum is σ = 198633600. Its totient is φ = 17557344.

The previous prime is 61461287. The next prime is 61461373. The reversal of 61461288 is 88216416.

61461288 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 (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 (61461287) 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 23 ways as a sum of consecutive naturals, for example, 7681 + ... + 13487.

It is an arithmetic number, because the mean of its divisors is an integer number (2069100).

Almost surely, 2^61461288 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 61461288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99316800).

61461288 is an abundant number, since it is smaller than the sum of its proper divisors (137172312).

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

61461288 is a wasteful number, since it uses less digits than its factorization.

61461288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5819 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 61461288 is about 7839.7249951768. The cubic root of 61461288 is about 394.6395001743.

The spelling of 61461288 in words is "sixty-one million, four hundred sixty-one thousand, two hundred eighty-eight".