83870144 has 56 divisors (see below), whose sum is σ = 175125888. Its totient is φ = 39776000.

The previous prime is 83870107. The next prime is 83870147. The reversal of 83870144 is 44107838.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83870147) 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, 334019 + ... + 334269.

It is an arithmetic number, because the mean of its divisors is an integer number (3127248).

Almost surely, 2^83870144 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 83870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87562944).

83870144 is an abundant number, since it is smaller than the sum of its proper divisors (91255744).

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

83870144 is a wasteful number, since it uses less digits than its factorization.

83870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 83870144 is about 9158.0644243202. The cubic root of 83870144 is about 437.7261202805.

The spelling of 83870144 in words is "eighty-three million, eight hundred seventy thousand, one hundred forty-four".