83036400 has 60 divisors (see below), whose sum is σ = 265997112. Its totient is φ = 22142720.

The previous prime is 83036389. The next prime is 83036413. The reversal of 83036400 is 463038.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33399 + ... + 35798.

Almost surely, 2^83036400 is an apocalyptic number.

83036400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83036400 is an abundant number, since it is smaller than the sum of its proper divisors (182960712).

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

83036400 is a wasteful number, since it uses less digits than its factorization.

83036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69218 (or 69207 counting only the distinct ones).

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

The square root of 83036400 is about 9112.4310696981. The cubic root of 83036400 is about 436.2708246423.

Adding to 83036400 its reverse (463038), we get a palindrome (83499438).

It can be divided in two parts, 83036 and 400, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 83036400 in words is "eighty-three million, thirty-six thousand, four hundred".