84378336 has 96 divisors (see below), whose sum is σ = 254580480. Its totient is φ = 23970816.

The previous prime is 84378331. The next prime is 84378337. The reversal of 84378336 is 63387348.

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

It is a super-2 number, since 2×84378336² = 14239407172257792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84378331) 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, 206100 + ... + 206508.

It is an arithmetic number, because the mean of its divisors is an integer number (2651880).

Almost surely, 2^84378336 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 84378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127290240).

84378336 is an abundant number, since it is smaller than the sum of its proper divisors (170202144).

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

84378336 is a wasteful number, since it uses less digits than its factorization.

84378336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 84378336 is about 9185.7681224816. The cubic root of 84378336 is about 438.6084411139.

The spelling of 84378336 in words is "eighty-four million, three hundred seventy-eight thousand, three hundred thirty-six".