83835840 has 224 divisors, whose sum is σ = 308116224. Its totient is φ = 19087360.

The previous prime is 83835833. The next prime is 83835841. The reversal of 83835840 is 4853838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83835841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179287 + ... + 179753.

Almost surely, 2^83835840 is an apocalyptic number.

83835840 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 83835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

83835840 is an abundant number, since it is smaller than the sum of its proper divisors (224280384).

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

83835840 is a wasteful number, since it uses less digits than its factorization.

83835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 83835840 is about 9156.1913479350. The cubic root of 83835840 is about 437.6664335481. Note that the first 3 decimals are identical.

The spelling of 83835840 in words is "eighty-three million, eight hundred thirty-five thousand, eight hundred forty".