83434680 has 192 divisors, whose sum is σ = 313709760. Its totient is φ = 18837504.

The previous prime is 83434669. The next prime is 83434697. The reversal of 83434680 is 8643438.

It is a super-2 number, since 2×83434680² = 13922691653404800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284614 + ... + 284906.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^83434680 is an apocalyptic number.

83434680 is the 5274-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

83434680 is an abundant number, since it is smaller than the sum of its proper divisors (230275080).

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

83434680 is a wasteful number, since it uses less digits than its factorization.

83434680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83434680 is about 9134.2585906027. The cubic root of 83434680 is about 436.9672295716.

The spelling of 83434680 in words is "eighty-three million, four hundred thirty-four thousand, six hundred eighty".