84507408 has 160 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 25712640.

The previous prime is 84507347. The next prime is 84507461. The reversal of 84507408 is 80470548.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 271573 + ... + 271883.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^84507408 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 84507408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

84507408 is an abundant number, since it is smaller than the sum of its proper divisors (180118512).

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

84507408 is a wasteful number, since it uses less digits than its factorization.

84507408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84507408 is about 9192.7910886738. The cubic root of 84507408 is about 438.8319709509.

The spelling of 84507408 in words is "eighty-four million, five hundred seven thousand, four hundred eight".