83468385 has 192 divisors, whose sum is σ = 207567360. Its totient is φ = 29859840.

The previous prime is 83468347. The next prime is 83468389. The reversal of 83468385 is 58386438.

It is not a de Polignac number, because 83468385 - 2⁸ = 83468129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83468385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83468389) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 765711 + ... + 765819.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^83468385 is an apocalyptic number.

83468385 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83468385 is an abundant number, since it is smaller than the sum of its proper divisors (124098975).

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

83468385 is a wasteful number, since it uses less digits than its factorization.

83468385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 83468385 is about 9136.1033816392. The cubic root of 83468385 is about 437.0260620127.

The spelling of 83468385 in words is "eighty-three million, four hundred sixty-eight thousand, three hundred eighty-five".