61567344 has 80 divisors (see below), whose sum is σ = 180122400. Its totient is φ = 20127744.

The previous prime is 61567339. The next prime is 61567349. The reversal of 61567344 is 44376516.

It is a happy number.

61567344 is a `hidden beast` number, since 61 + 567 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61567339) and next prime (61567349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61567299 and 61567308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61567349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21552 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (2251530).

Almost surely, 2^61567344 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 61567344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90061200).

61567344 is an abundant number, since it is smaller than the sum of its proper divisors (118555056).

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

61567344 is a wasteful number, since it uses less digits than its factorization.

61567344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2747 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 61567344 is about 7846.4860925130. The cubic root of 61567344 is about 394.8663629539.

The spelling of 61567344 in words is "sixty-one million, five hundred sixty-seven thousand, three hundred forty-four".