61333344 has 72 divisors (see below), whose sum is σ = 175567392. Its totient is φ = 20309760.

The previous prime is 61333343. The next prime is 61333367. The reversal of 61333344 is 44333316.

61333344 is a `hidden beast` number, since 613 + 3 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61333343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49209 + ... + 50439.

It is an arithmetic number, because the mean of its divisors is an integer number (2438436).

Almost surely, 2^61333344 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 61333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87783696).

61333344 is an abundant number, since it is smaller than the sum of its proper divisors (114234048).

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

61333344 is a wasteful number, since it uses less digits than its factorization.

61333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 61333344 is about 7831.5607639857. The cubic root of 61333344 is about 394.3654695085.

The spelling of 61333344 in words is "sixty-one million, three hundred thirty-three thousand, three hundred forty-four".