84381480 has 256 divisors, whose sum is σ = 304128000. Its totient is φ = 20756736.

The previous prime is 84381469. The next prime is 84381481. The reversal of 84381480 is 8418348.

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 (84381481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1068081 + ... + 1068159.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 2^84381480 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 84381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000).

84381480 is an abundant number, since it is smaller than the sum of its proper divisors (219746520).

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

84381480 is a wasteful number, since it uses less digits than its factorization.

84381480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84381480 is about 9185.9392551878. The cubic root of 84381480 is about 438.6138886726.

The spelling of 84381480 in words is "eighty-four million, three hundred eighty-one thousand, four hundred eighty".