84400148 has 36 divisors (see below), whose sum is σ = 172674432. Its totient is φ = 35990640.

The previous prime is 84400103. The next prime is 84400153. The reversal of 84400148 is 84100448.

It is a self number, because there is not a number n which added to its sum of digits gives 84400148.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42743 + ... + 44673.

It is an arithmetic number, because the mean of its divisors is an integer number (4796512).

Almost surely, 2^84400148 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 84400148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86337216).

84400148 is an abundant number, since it is smaller than the sum of its proper divisors (88274284).

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

84400148 is a wasteful number, since it uses less digits than its factorization.

84400148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 84400148 is about 9186.9553171875. The cubic root of 84400148 is about 438.6462316319.

It can be divided in two parts, 84400 and 148, that added together give a palindrome (84548).

The spelling of 84400148 in words is "eighty-four million, four hundred thousand, one hundred forty-eight".