83271360 has 112 divisors (see below), whose sum is σ = 266858496. Its totient is φ = 21998592.

The previous prime is 83271343. The next prime is 83271373. The reversal of 83271360 is 6317238.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121579 + ... + 122261.

Almost surely, 2^83271360 is an apocalyptic number.

83271360 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 83271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

83271360 is an abundant number, since it is smaller than the sum of its proper divisors (183587136).

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

83271360 is a wasteful number, since it uses less digits than its factorization.

83271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 83271360 is about 9125.3142411645. The cubic root of 83271360 is about 436.6819281291.

Adding to 83271360 its reverse (6317238), we get a palindrome (89588598).

The spelling of 83271360 in words is "eighty-three million, two hundred seventy-one thousand, three hundred sixty".