83774736 has 120 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 26925696.

The previous prime is 83774711. The next prime is 83774791. The reversal of 83774736 is 63747738.

It is a junction number, because it is equal to n+sod(n) for n = 83774691 and 83774700.

It is an unprimeable number.

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, 112381 + ... + 113123.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^83774736 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 83774736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

83774736 is an abundant number, since it is smaller than the sum of its proper divisors (168084144).

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

83774736 is a wasteful number, since it uses less digits than its factorization.

83774736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 83774736 is about 9152.8539811362. The cubic root of 83774736 is about 437.5600762127.

The spelling of 83774736 in words is "eighty-three million, seven hundred seventy-four thousand, seven hundred thirty-six".