84048480 has 72 divisors (see below), whose sum is σ = 286820352. Its totient is φ = 22412544.

The previous prime is 84048479. The next prime is 84048487. The reversal of 84048480 is 8484048.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84048487) 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, 27744 + ... + 30623.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2^84048480 is an apocalyptic number.

84048480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84048480 is an abundant number, since it is smaller than the sum of its proper divisors (202771872).

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

84048480 is a wasteful number, since it uses less digits than its factorization.

84048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58388 (or 58377 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84048480 is about 9167.7958092444. The cubic root of 84048480 is about 438.0361513915.

The spelling of 84048480 in words is "eighty-four million, forty-eight thousand, four hundred eighty".