87146496 has 120 divisors (see below), whose sum is σ = 259514640. Its totient is φ = 28901376.

The previous prime is 87146489. The next prime is 87146497. The reversal of 87146496 is 69464178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87146497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442270 + ... + 442466.

It is an arithmetic number, because the mean of its divisors is an integer number (2162622).

Almost surely, 2^87146496 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 87146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129757320).

87146496 is an abundant number, since it is smaller than the sum of its proper divisors (172368144).

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

87146496 is an equidigital number, since it uses as much as digits as its factorization.

87146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 87146496 is about 9335.2287599180. The cubic root of 87146496 is about 443.3533318031.

The spelling of 87146496 in words is "eighty-seven million, one hundred forty-six thousand, four hundred ninety-six".