84131376 has 80 divisors (see below), whose sum is σ = 249460224. Its totient is φ = 23933952.

The previous prime is 84131371. The next prime is 84131381. The reversal of 84131376 is 67313148.

It is an interprime number because it is at equal distance from previous prime (84131371) and next prime (84131381).

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 (84131371) 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, 112861 + ... + 113603.

Almost surely, 2^84131376 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 84131376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124730112).

84131376 is an abundant number, since it is smaller than the sum of its proper divisors (165328848).

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

84131376 is a wasteful number, since it uses less digits than its factorization.

84131376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 84131376 is about 9172.3157381329. The cubic root of 84131376 is about 438.1801139930.

The spelling of 84131376 in words is "eighty-four million, one hundred thirty-one thousand, three hundred seventy-six".