84811368 has 64 divisors (see below), whose sum is σ = 226920960. Its totient is φ = 26320896.

The previous prime is 84811361. The next prime is 84811369. The reversal of 84811368 is 86311848.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84811361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38505 + ... + 40647.

It is an arithmetic number, because the mean of its divisors is an integer number (3545640).

Almost surely, 2^84811368 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 84811368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

84811368 is an abundant number, since it is smaller than the sum of its proper divisors (142109592).

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

84811368 is a wasteful number, since it uses less digits than its factorization.

84811368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2262 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 84811368 is about 9209.3087688490. The cubic root of 84811368 is about 439.3574781749.

The spelling of 84811368 in words is "eighty-four million, eight hundred eleven thousand, three hundred sixty-eight".