83436864 has 56 divisors (see below), whose sum is σ = 252301248. Its totient is φ = 23838720.

The previous prime is 83436863. The next prime is 83436869. The reversal of 83436864 is 46863438.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83436863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29697 + ... + 32384.

Almost surely, 2^83436864 is an apocalyptic number.

83436864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83436864 is an abundant number, since it is smaller than the sum of its proper divisors (168864384).

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

83436864 is a wasteful number, since it uses less digits than its factorization.

83436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62103 (or 62093 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 83436864 is about 9134.3781397531. The cubic root of 83436864 is about 436.9710422471.

The spelling of 83436864 in words is "eighty-three million, four hundred thirty-six thousand, eight hundred sixty-four".