83814360 has 128 divisors (see below), whose sum is σ = 290234880. Its totient is φ = 18966528.

The previous prime is 83814349. The next prime is 83814371. The reversal of 83814360 is 6341838.

It is an interprime number because it is at equal distance from previous prime (83814349) and next prime (83814371).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94479 + ... + 95361.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^83814360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83814360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

83814360 is an abundant number, since it is smaller than the sum of its proper divisors (206420520).

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

83814360 is a wasteful number, since it uses less digits than its factorization.

83814360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83814360 is about 9155.0182959948. The cubic root of 83814360 is about 437.6290514531.

The spelling of 83814360 in words is "eighty-three million, eight hundred fourteen thousand, three hundred sixty".