96800148 has 36 divisors (see below), whose sum is σ = 244989108. Its totient is φ = 32227200.

The previous prime is 96800147. The next prime is 96800153. The reversal of 96800148 is 84100869.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 48191364 = 6972^2 + 6942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96800141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52848 + ... + 54648.

It is an arithmetic number, because the mean of its divisors is an integer number (6805253).

Almost surely, 2^96800148 is an apocalyptic number.

It is an amenable number.

96800148 is an abundant number, since it is smaller than the sum of its proper divisors (148188960).

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

96800148 is a wasteful number, since it uses less digits than its factorization.

96800148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96800148 is about 9838.7066223158. The cubic root of 96800148 is about 459.1543189371.

The spelling of 96800148 in words is "ninety-six million, eight hundred thousand, one hundred forty-eight".