61268844 has 96 divisors (see below), whose sum is σ = 185274880. Its totient is φ = 15303168.

The previous prime is 61268843. The next prime is 61268873. The reversal of 61268844 is 44886216.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (61268843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19272 + ... + 22224.

Almost surely, 2^61268844 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 61268844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92637440).

61268844 is an abundant number, since it is smaller than the sum of its proper divisors (124006036).

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

61268844 is a wasteful number, since it uses less digits than its factorization.

61268844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2997 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 61268844 is about 7827.4417276656. The cubic root of 61268844 is about 394.2271788009.

The spelling of 61268844 in words is "sixty-one million, two hundred sixty-eight thousand, eight hundred forty-four".