61993224 has 96 divisors (see below), whose sum is σ = 173759040. Its totient is φ = 19958400.

The previous prime is 61993223. The next prime is 61993259. The reversal of 61993224 is 42239916.

61993224 is a `hidden beast` number, since 619 + 9 + 32 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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.

Its product of digits (23328) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (61993223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342414 + ... + 342594.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 2^61993224 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 61993224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

61993224 is an abundant number, since it is smaller than the sum of its proper divisors (111765816).

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

61993224 is a wasteful number, since it uses less digits than its factorization.

61993224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 61993224 is about 7873.5775858246. The cubic root of 61993224 is about 395.7747418010.

The spelling of 61993224 in words is "sixty-one million, nine hundred ninety-three thousand, two hundred twenty-four".