83846400 has 216 divisors, whose sum is σ = 302626464. Its totient is φ = 20275200.

The previous prime is 83846387. The next prime is 83846423. The reversal of 83846400 is 464838.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211002 + ... + 211398.

Almost surely, 2^83846400 is an apocalyptic number.

83846400 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 83846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151313232).

83846400 is an abundant number, since it is smaller than the sum of its proper divisors (218780064).

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

83846400 is a wasteful number, since it uses less digits than its factorization.

83846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83846400 is about 9156.7679887611. The cubic root of 83846400 is about 437.6848089967.

The spelling of 83846400 in words is "eighty-three million, eight hundred forty-six thousand, four hundred".