84955392 has 180 divisors, whose sum is σ = 269335836. Its totient is φ = 26542080.

The previous prime is 84955391. The next prime is 84955411. The reversal of 84955392 is 29355948.

84955392 is a `hidden beast` number, since 8 + 4 + 9 + 553 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 19927296 = 8064^2 + 4464^2 .

It is not an unprimeable number, because it can be changed into a prime (84955391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352392 + ... + 352632.

Almost surely, 2^84955392 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 84955392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134667918).

84955392 is an abundant number, since it is smaller than the sum of its proper divisors (184380444).

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

84955392 is a wasteful number, since it uses less digits than its factorization.

84955392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 84955392 is about 9217.1249313438. The cubic root of 84955392 is about 439.6060385498.

The spelling of 84955392 in words is "eighty-four million, nine hundred fifty-five thousand, three hundred ninety-two".