61569144 has 96 divisors (see below), whose sum is σ = 205252320. Its totient is φ = 16236288.

The previous prime is 61569113. The next prime is 61569161. The reversal of 61569144 is 44196516.

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 = 61569099 and 61569108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1854 + ... + 11250.

It is an arithmetic number, because the mean of its divisors is an integer number (2138045).

Almost surely, 2^61569144 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 61569144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102626160).

61569144 is an abundant number, since it is smaller than the sum of its proper divisors (143683176).

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

61569144 is a wasteful number, since it uses less digits than its factorization.

61569144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9422 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61569144 is about 7846.6007927000. The cubic root of 61569144 is about 394.8702110573.

The spelling of 61569144 in words is "sixty-one million, five hundred sixty-nine thousand, one hundred forty-four".