84501360 has 320 divisors, whose sum is σ = 321408000. Its totient is φ = 20321280.

The previous prime is 84501359. The next prime is 84501367. The reversal of 84501360 is 6310548.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84501367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190125 + ... + 1190195.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^84501360 is an apocalyptic number.

84501360 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 84501360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

84501360 is an abundant number, since it is smaller than the sum of its proper divisors (236906640).

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

84501360 is a wasteful number, since it uses less digits than its factorization.

84501360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 84501360 is about 9192.4621293754. The cubic root of 84501360 is about 438.8215019710.

The spelling of 84501360 in words is "eighty-four million, five hundred one thousand, three hundred sixty".