61834872 has 96 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 18469440.

The previous prime is 61834867. The next prime is 61834897. The reversal of 61834872 is 27843816.

It is a super-3 number, since 3×61834872³ (a number of 24 digits) contains 333 as substring.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61834872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310629 + ... + 310827.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^61834872 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 61834872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

61834872 is an abundant number, since it is smaller than the sum of its proper divisors (110533128).

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

61834872 is a wasteful number, since it uses less digits than its factorization.

61834872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 61834872 is about 7863.5152444692. The cubic root of 61834872 is about 395.4374729006.

The spelling of 61834872 in words is "sixty-one million, eight hundred thirty-four thousand, eight hundred seventy-two".