84350376 has 128 divisors (see below), whose sum is σ = 258508800. Its totient is φ = 25272000.

The previous prime is 84350369. The next prime is 84350377. The reversal of 84350376 is 67305348.

It is a happy number.

84350376 is a `hidden beast` number, since 84 + 3 + 503 + 76 = 666.

It is a super-2 number, since 2×84350376² = 14229971862682752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84350376.

It is not an unprimeable number, because it can be changed into a prime (84350377) by changing a digit.

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, 311121 + ... + 311391.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^84350376 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 84350376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

84350376 is an abundant number, since it is smaller than the sum of its proper divisors (174158424).

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

84350376 is a wasteful number, since it uses less digits than its factorization.

84350376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 84350376 is about 9184.2460768427. The cubic root of 84350376 is about 438.5599893137.

The spelling of 84350376 in words is "eighty-four million, three hundred fifty thousand, three hundred seventy-six".