61905816 has 96 divisors (see below), whose sum is σ = 200070000. Its totient is φ = 17684352.

The previous prime is 61905803. The next prime is 61905817. The reversal of 61905816 is 61850916.

61905816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (61905817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7660 + ... + 13508.

Almost surely, 2^61905816 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 61905816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100035000).

61905816 is an abundant number, since it is smaller than the sum of its proper divisors (138164184).

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

61905816 is a wasteful number, since it uses less digits than its factorization.

61905816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 61905816 is about 7868.0249109926. The cubic root of 61905816 is about 395.5886453870.

The spelling of 61905816 in words is "sixty-one million, nine hundred five thousand, eight hundred sixteen".