83670144 has 64 divisors (see below), whose sum is σ = 224400000. Its totient is φ = 27620352.

The previous prime is 83670143. The next prime is 83670179. The reversal of 83670144 is 44107638.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83670143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40857 + ... + 42855.

It is an arithmetic number, because the mean of its divisors is an integer number (3506250).

Almost surely, 2^83670144 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 83670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112200000).

83670144 is an abundant number, since it is smaller than the sum of its proper divisors (140729856).

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

83670144 is a wasteful number, since it uses less digits than its factorization.

83670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 83670144 is about 9147.1385689734. The cubic root of 83670144 is about 437.3779037793.

The spelling of 83670144 in words is "eighty-three million, six hundred seventy thousand, one hundred forty-four".