84953376 has 72 divisors (see below), whose sum is σ = 244157004. Its totient is φ = 28016640.

The previous prime is 84953339. The next prime is 84953377. The reversal of 84953376 is 67335948.

84953376 is a `hidden beast` number, since 8 + 49 + 533 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 7160976 = 8820^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84953377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26416 + ... + 29456.

Almost surely, 2^84953376 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 84953376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078502).

84953376 is an abundant number, since it is smaller than the sum of its proper divisors (159203628).

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

84953376 is a wasteful number, since it uses less digits than its factorization.

84953376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3143 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 84953376 is about 9217.0155690440. The cubic root of 84953376 is about 439.6025612238.

The spelling of 84953376 in words is "eighty-four million, nine hundred fifty-three thousand, three hundred seventy-six".