83468007 has 48 divisors (see below), whose sum is σ = 146664960. Its totient is φ = 44680896.

The previous prime is 83467987. The next prime is 83468009. The reversal of 83468007 is 70086438.

It is not a de Polignac number, because 83468007 - 2¹⁰ = 83466983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83468009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122953 + ... + 123629.

It is an arithmetic number, because the mean of its divisors is an integer number (3055520).

Almost surely, 2^83468007 is an apocalyptic number.

83468007 is a deficient number, since it is larger than the sum of its proper divisors (63196953).

83468007 is a wasteful number, since it uses less digits than its factorization.

83468007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83468007 is about 9136.0826944594. The cubic root of 83468007 is about 437.0254022975.

The spelling of 83468007 in words is "eighty-three million, four hundred sixty-eight thousand, seven".