61834864 has 60 divisors (see below), whose sum is σ = 150110184. Its totient is φ = 24458112.

The previous prime is 61834859. The next prime is 61834867. The reversal of 61834864 is 46843816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61834867) 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, 7159 + ... + 13225.

Almost surely, 2^61834864 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 61834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75055092).

61834864 is an abundant number, since it is smaller than the sum of its proper divisors (88275320).

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

61834864 is a wasteful number, since it uses less digits than its factorization.

61834864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6089 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 61834864 is about 7863.5147357909. The cubic root of 61834864 is about 395.4374558472.

The spelling of 61834864 in words is "sixty-one million, eight hundred thirty-four thousand, eight hundred sixty-four".