83140512 has 192 divisors, whose sum is σ = 278175744. Its totient is φ = 21150720.

The previous prime is 83140493. The next prime is 83140529. The reversal of 83140512 is 21504138.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270663 + ... + 270969.

It is an arithmetic number, because the mean of its divisors is an integer number (1448832).

Almost surely, 2^83140512 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 83140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087872).

83140512 is an abundant number, since it is smaller than the sum of its proper divisors (195035232).

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

83140512 is a wasteful number, since it uses less digits than its factorization.

83140512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83140512 is about 9118.1419159827. The cubic root of 83140512 is about 436.4530822954.

The spelling of 83140512 in words is "eighty-three million, one hundred forty thousand, five hundred twelve".