61824368 has 40 divisors (see below), whose sum is σ = 127932288. Its totient is φ = 28873152.

The previous prime is 61824361. The next prime is 61824379. The reversal of 61824368 is 86342816.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61824361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13871 + ... + 17777.

Almost surely, 2^61824368 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 61824368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63966144).

61824368 is an abundant number, since it is smaller than the sum of its proper divisors (66107920).

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

61824368 is a wasteful number, since it uses less digits than its factorization.

61824368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3975 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 61824368 is about 7862.8473214224. The cubic root of 61824368 is about 395.4150804097.

The spelling of 61824368 in words is "sixty-one million, eight hundred twenty-four thousand, three hundred sixty-eight".