61838766 has 96 divisors (see below), whose sum is σ = 157068288. Its totient is φ = 17392320.

The previous prime is 61838753. The next prime is 61838767. The reversal of 61838766 is 66783816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61838767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168315 + ... + 168681.

It is an arithmetic number, because the mean of its divisors is an integer number (1636128).

Almost surely, 2^61838766 is an apocalyptic number.

61838766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61838766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78534144).

61838766 is an abundant number, since it is smaller than the sum of its proper divisors (95229522).

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

61838766 is a wasteful number, since it uses less digits than its factorization.

61838766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 61838766 is about 7863.7628397606. The cubic root of 61838766 is about 395.4457735092.

The spelling of 61838766 in words is "sixty-one million, eight hundred thirty-eight thousand, seven hundred sixty-six".