83449600 has 216 divisors, whose sum is σ = 239515920. Its totient is φ = 28508160.

The previous prime is 83449591. The next prime is 83449603. The reversal of 83449600 is 694438.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83449603) 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, 1414371 + ... + 1414429.

It is an arithmetic number, because the mean of its divisors is an integer number (1108870).

Almost surely, 2^83449600 is an apocalyptic number.

83449600 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 83449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119757960).

83449600 is an abundant number, since it is smaller than the sum of its proper divisors (156066320).

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

83449600 is a wasteful number, since it uses less digits than its factorization.

83449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 83449600 is about 9135.0752596790. The cubic root of 83449600 is about 436.9932745467.

The spelling of 83449600 in words is "eighty-three million, four hundred forty-nine thousand, six hundred".