61294644 has 60 divisors (see below), whose sum is σ = 164599204. Its totient is φ = 19875456.

The previous prime is 61294643. The next prime is 61294663. The reversal of 61294644 is 44649216.

61294644 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 37675044 = 4860^2 + 6138^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 61294599 and 61294608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61294643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9432 + ... + 14544.

Almost surely, 2^61294644 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 61294644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82299602).

61294644 is an abundant number, since it is smaller than the sum of its proper divisors (103304560).

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

61294644 is a wasteful number, since it uses less digits than its factorization.

61294644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5155 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61294644 is about 7829.0896022462. The cubic root of 61294644 is about 394.2825067252.

The spelling of 61294644 in words is "sixty-one million, two hundred ninety-four thousand, six hundred forty-four".