83774988 has 72 divisors (see below), whose sum is σ = 233709840. Its totient is φ = 25090560.

The previous prime is 83774987. The next prime is 83775001. The reversal of 83774988 is 88947738.

83774988 is a `hidden beast` number, since 83 + 77 + 498 + 8 = 666.

It is a super-2 number, since 2×83774988² = 14036497228800288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83774981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34056 + ... + 36432.

It is an arithmetic number, because the mean of its divisors is an integer number (3245970).

Almost surely, 2^83774988 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 83774988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116854920).

83774988 is an abundant number, since it is smaller than the sum of its proper divisors (149934852).

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

83774988 is a wasteful number, since it uses less digits than its factorization.

83774988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2482 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 83774988 is about 9152.8677473238. The cubic root of 83774988 is about 437.5605149489.

The spelling of 83774988 in words is "eighty-three million, seven hundred seventy-four thousand, nine hundred eighty-eight".