61834752 has 240 divisors, whose sum is σ = 214486272. Its totient is φ = 17418240.

The previous prime is 61834709. The next prime is 61834753. The reversal of 61834752 is 25743816.

61834752 is a `hidden beast` number, since 6 + 183 + 475 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61834753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870877 + ... + 870947.

Almost surely, 2^61834752 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 61834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

61834752 is an abundant number, since it is smaller than the sum of its proper divisors (152651520).

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

61834752 is an frugal number, since it uses more digits than its factorization.

61834752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 61834752 is about 7863.5076142902. The cubic root of 61834752 is about 395.4372170982.

The spelling of 61834752 in words is "sixty-one million, eight hundred thirty-four thousand, seven hundred fifty-two".