147984096 has 96 divisors (see below), whose sum is σ = 420819840. Its totient is φ = 45264384.

The previous prime is 147984079. The next prime is 147984097. The reversal of 147984096 is 690489741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147984097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 352975 + ... + 353393.

It is an arithmetic number, because the mean of its divisors is an integer number (4383540).

Almost surely, 2^147984096 is an apocalyptic number.

147984096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210409920).

147984096 is an abundant number, since it is smaller than the sum of its proper divisors (272835744).

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

147984096 is a wasteful number, since it uses less digits than its factorization.

147984096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 147984096 is about 12164.8713926617. The cubic root of 147984096 is about 528.9382994374.

The spelling of 147984096 in words is "one hundred forty-seven million, nine hundred eighty-four thousand, ninety-six".