83677440 has 288 divisors, whose sum is σ = 334365696. Its totient is φ = 17326080.

The previous prime is 83677423. The next prime is 83677453. The reversal of 83677440 is 4477638.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295539 + ... + 295821.

It is an arithmetic number, because the mean of its divisors is an integer number (1160992).

Almost surely, 2^83677440 is an apocalyptic number.

83677440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167182848).

83677440 is an abundant number, since it is smaller than the sum of its proper divisors (250688256).

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

83677440 is a wasteful number, since it uses less digits than its factorization.

83677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 83677440 is about 9147.5373735230. The cubic root of 83677440 is about 437.3906164638.

The spelling of 83677440 in words is "eighty-three million, six hundred seventy-seven thousand, four hundred forty".