83246400 has 336 divisors, whose sum is σ = 317479680. Its totient is φ = 21196800.

The previous prime is 83246381. The next prime is 83246413. The reversal of 83246400 is 464238.

It is a super-2 number, since 2×83246400² = 13859926225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1771177 + ... + 1771223.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^83246400 is an apocalyptic number.

83246400 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 83246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

83246400 is an abundant number, since it is smaller than the sum of its proper divisors (234233280).

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

83246400 is a wasteful number, since it uses less digits than its factorization.

83246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 83246400 is about 9123.9465145298. The cubic root of 83246400 is about 436.6382929980.

The spelling of 83246400 in words is "eighty-three million, two hundred forty-six thousand, four hundred".