83412480 has 80 divisors (see below), whose sum is σ = 266683824. Its totient is φ = 22241280.

The previous prime is 83412473. The next prime is 83412503. The reversal of 83412480 is 8421438.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2250 + ... + 13110.

Almost surely, 2^83412480 is an apocalyptic number.

83412480 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 83412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133341912).

83412480 is an abundant number, since it is smaller than the sum of its proper divisors (183271344).

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

83412480 is a wasteful number, since it uses less digits than its factorization.

83412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 83412480 is about 9133.0433043975. The cubic root of 83412480 is about 436.9284705767.

The spelling of 83412480 in words is "eighty-three million, four hundred twelve thousand, four hundred eighty".