84948192 has 144 divisors (see below), whose sum is σ = 285798240. Its totient is φ = 23417856.

The previous prime is 84948191. The next prime is 84948197. The reversal of 84948192 is 29184948.

84948192 is a `hidden beast` number, since 84 + 9 + 481 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (84948191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57738 + ... + 59190.

It is an arithmetic number, because the mean of its divisors is an integer number (1984710).

Almost surely, 2^84948192 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 84948192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142899120).

84948192 is an abundant number, since it is smaller than the sum of its proper divisors (200850048).

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

84948192 is a wasteful number, since it uses less digits than its factorization.

84948192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 84948192 is about 9216.7343457431. The cubic root of 84948192 is about 439.5936192757.

The spelling of 84948192 in words is "eighty-four million, nine hundred forty-eight thousand, one hundred ninety-two".