83612412 has 108 divisors (see below), whose sum is σ = 237804840. Its totient is φ = 25676352.

The previous prime is 83612411. The next prime is 83612461. The reversal of 83612412 is 21421638.

83612412 is a `hidden beast` number, since 8 + 3 + 612 + 41 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83612411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164014 + ... + 164522.

Almost surely, 2^83612412 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 83612412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118902420).

83612412 is an abundant number, since it is smaller than the sum of its proper divisors (154192428).

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

83612412 is a wasteful number, since it uses less digits than its factorization.

83612412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83612412 is about 9143.9822834474. The cubic root of 83612412 is about 437.2772844114.

The spelling of 83612412 in words is "eighty-three million, six hundred twelve thousand, four hundred twelve".