83248480 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 28331520.

The previous prime is 83248471. The next prime is 83248489. The reversal of 83248480 is 8484238.

It is an interprime number because it is at equal distance from previous prime (83248471) and next prime (83248489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83248489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267525 + ... + 267835.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^83248480 is an apocalyptic number.

83248480 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 83248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

83248480 is an abundant number, since it is smaller than the sum of its proper divisors (143188640).

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

83248480 is a wasteful number, since it uses less digits than its factorization.

83248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 83248480 is about 9124.0604995802. The cubic root of 83248480 is about 436.6419295921.

The spelling of 83248480 in words is "eighty-three million, two hundred forty-eight thousand, four hundred eighty".