83934864 has 90 divisors (see below), whose sum is σ = 254434050. Its totient is φ = 25818624.

The previous prime is 83934863. The next prime is 83934883. The reversal of 83934864 is 46843938.

83934864 is a `hidden beast` number, since 83 + 93 + 486 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10112400 + 73822464 = 3180^2 + 8592^2 .

It is a super-2 number, since 2×83934864² = 14090122789396992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (83934863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22612 + ... + 26060.

It is an arithmetic number, because the mean of its divisors is an integer number (2827045).

Almost surely, 2^83934864 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 83934864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127217025).

83934864 is an abundant number, since it is smaller than the sum of its proper divisors (170499186).

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

83934864 is a wasteful number, since it uses less digits than its factorization.

83934864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3467 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 83934864 is about 9161.5972406562. The cubic root of 83934864 is about 437.8386845743.

The spelling of 83934864 in words is "eighty-three million, nine hundred thirty-four thousand, eight hundred sixty-four".