83140992 has 176 divisors, whose sum is σ = 271033380. Its totient is φ = 25194240.

The previous prime is 83140991. The next prime is 83140997. The reversal of 83140992 is 29904138.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83140991) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 7558267 + ... + 7558277.

Almost surely, 2^83140992 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 83140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135516690).

83140992 is an abundant number, since it is smaller than the sum of its proper divisors (187892388).

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

83140992 is an frugal number, since it uses more digits than its factorization.

83140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 83140992 is about 9118.1682370967. The cubic root of 83140992 is about 436.4539222272.

The spelling of 83140992 in words is "eighty-three million, one hundred forty thousand, nine hundred ninety-two".