83066480 has 160 divisors (see below), whose sum is σ = 239746560. Its totient is φ = 26127360.

The previous prime is 83066479. The next prime is 83066491. The reversal of 83066480 is 8466038.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83066480.

It is a congruent number.

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, 393575 + ... + 393785.

It is an arithmetic number, because the mean of its divisors is an integer number (1498416).

Almost surely, 2^83066480 is an apocalyptic number.

83066480 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 83066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119873280).

83066480 is an abundant number, since it is smaller than the sum of its proper divisors (156680080).

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

83066480 is a wasteful number, since it uses less digits than its factorization.

83066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 83066480 is about 9114.0814128468. The cubic root of 83066480 is about 436.3234980968.

The spelling of 83066480 in words is "eighty-three million, sixty-six thousand, four hundred eighty".