83774040 has 256 divisors, whose sum is σ = 314496000. Its totient is φ = 17418240.

The previous prime is 83774017. The next prime is 83774051. The reversal of 83774040 is 4047738.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83773992 and 83774010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462750 + ... + 462930.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^83774040 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 83774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

83774040 is an abundant number, since it is smaller than the sum of its proper divisors (230721960).

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

83774040 is a wasteful number, since it uses less digits than its factorization.

83774040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 83774040 is about 9152.8159601294. The cubic root of 83774040 is about 437.5588644605.

The spelling of 83774040 in words is "eighty-three million, seven hundred seventy-four thousand, forty".