84417408 has 96 divisors (see below), whose sum is σ = 245256960. Its totient is φ = 27869184.

The previous prime is 84417407. The next prime is 84417467. The reversal of 84417408 is 80471448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (84417407) 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, 146016 + ... + 146592.

It is an arithmetic number, because the mean of its divisors is an integer number (2554760).

Almost surely, 2^84417408 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 84417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122628480).

84417408 is an abundant number, since it is smaller than the sum of its proper divisors (160839552).

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

84417408 is a wasteful number, since it uses less digits than its factorization.

84417408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 84417408 is about 9187.8946445853. The cubic root of 84417408 is about 438.6761309394.

The spelling of 84417408 in words is "eighty-four million, four hundred seventeen thousand, four hundred eight".