83630400 has 336 divisors, whose sum is σ = 332597760. Its totient is φ = 17971200.

The previous prime is 83630311. The next prime is 83630401. The reversal of 83630400 is 403638.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83630401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 638335 + ... + 638465.

Almost surely, 2^83630400 is an apocalyptic number.

83630400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83630400 is the 7467-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166298880).

83630400 is an abundant number, since it is smaller than the sum of its proper divisors (248967360).

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

83630400 is a wasteful number, since it uses less digits than its factorization.

83630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 83630400 is about 9144.9658282576. The cubic root of 83630400 is about 437.3086401221.

The spelling of 83630400 in words is "eighty-three million, six hundred thirty thousand, four hundred".