83234880 has 84 divisors (see below), whose sum is σ = 286303212. Its totient is φ = 22195200.

The previous prime is 83234869. The next prime is 83234881. The reversal of 83234880 is 8843238.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 17040384 = 8136^2 + 4128^2 .

It is a super-2 number, since 2×83234880² = 13856090497228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (83234881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11571 + ... + 17330.

Almost surely, 2^83234880 is an apocalyptic number.

83234880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83234880 is an abundant number, since it is smaller than the sum of its proper divisors (203068332).

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

83234880 is a wasteful number, since it uses less digits than its factorization.

83234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 28911 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83234880 is about 9123.3151869263. The cubic root of 83234880 is about 436.6181507649.

It can be divided in two parts, 8323 and 4880, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 83234880 in words is "eighty-three million, two hundred thirty-four thousand, eight hundred eighty".