83534906 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 28449792.

The previous prime is 83534897. The next prime is 83534909. The reversal of 83534906 is 60943538.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 83534906.

It is not an unprimeable number, because it can be changed into a prime (83534909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2880500 + ... + 2880528.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^83534906 is an apocalyptic number.

83534906 is an abundant number, since it is smaller than the sum of its proper divisors (97905094).

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

83534906 is a wasteful number, since it uses less digits than its factorization.

83534906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 83534906 is about 9139.7432130230. The cubic root of 83534906 is about 437.1421286774.

The spelling of 83534906 in words is "eighty-three million, five hundred thirty-four thousand, nine hundred six".