83462280 has 128 divisors (see below), whose sum is σ = 278536320. Its totient is φ = 19834880.

The previous prime is 83462263. The next prime is 83462297. The reversal of 83462280 is 8226438.

It is an interprime number because it is at equal distance from previous prime (83462263) and next prime (83462297).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69364 + ... + 70556.

It is an arithmetic number, because the mean of its divisors is an integer number (2176065).

Almost surely, 2^83462280 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 83462280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139268160).

83462280 is an abundant number, since it is smaller than the sum of its proper divisors (195074040).

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

83462280 is a wasteful number, since it uses less digits than its factorization.

83462280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83462280 is about 9135.7692615346. The cubic root of 83462280 is about 437.0154068440.

The spelling of 83462280 in words is "eighty-three million, four hundred sixty-two thousand, two hundred eighty".