61444416 has 112 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 18193920.

The previous prime is 61444399. The next prime is 61444421.

61444416 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98955 + ... + 99573.

Almost surely, 2^61444416 is an apocalyptic number.

61444416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

61444416 is an abundant number, since it is smaller than the sum of its proper divisors (119972544).

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

61444416 is a wasteful number, since it uses less digits than its factorization.

61444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 61444416 is about 7838.6488631651. The cubic root of 61444416 is about 394.6033854793.

The spelling of 61444416 in words is "sixty-one million, four hundred forty-four thousand, four hundred sixteen".