61956144 has 80 divisors (see below), whose sum is σ = 179080800. Its totient is φ = 20507904.

The previous prime is 61956113. The next prime is 61956157. The reversal of 61956144 is 44165916.

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 = 61956099 and 61956108.

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, 74322 + ... + 75150.

It is an arithmetic number, because the mean of its divisors is an integer number (2238510).

Almost surely, 2^61956144 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 61956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540400).

61956144 is an abundant number, since it is smaller than the sum of its proper divisors (117124656).

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

61956144 is a wasteful number, since it uses less digits than its factorization.

61956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

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

The square root of 61956144 is about 7871.2225225819. Note that the first 3 decimals coincide. The cubic root of 61956144 is about 395.6958178296.

The spelling of 61956144 in words is "sixty-one million, nine hundred fifty-six thousand, one hundred forty-four".