83145440 has 96 divisors (see below), whose sum is σ = 228360384. Its totient is φ = 28016640.

The previous prime is 83145421. The next prime is 83145451. The reversal of 83145440 is 4454138.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67712 + ... + 68928.

It is an arithmetic number, because the mean of its divisors is an integer number (2378754).

Almost surely, 2^83145440 is an apocalyptic number.

83145440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114180192).

83145440 is an abundant number, since it is smaller than the sum of its proper divisors (145214944).

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

83145440 is a wasteful number, since it uses less digits than its factorization.

83145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 83145440 is about 9118.4121424731. The cubic root of 83145440 is about 436.4617054413.

Adding to 83145440 its reverse (4454138), we get a palindrome (87599578).

The spelling of 83145440 in words is "eighty-three million, one hundred forty-five thousand, four hundred forty".