87133446 has 48 divisors (see below), whose sum is σ = 198682848. Its totient is φ = 27561600.

The previous prime is 87133439. The next prime is 87133447. The reversal of 87133446 is 64433178.

87133446 is a `hidden beast` number, since 87 + 133 + 446 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87133446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87133447) 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 23 ways as a sum of consecutive naturals, for example, 25711 + ... + 28901.

It is an arithmetic number, because the mean of its divisors is an integer number (4139226).

Almost surely, 2^87133446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87133446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99341424).

87133446 is an abundant number, since it is smaller than the sum of its proper divisors (111549402).

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

87133446 is a wasteful number, since it uses less digits than its factorization.

87133446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3274 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 87133446 is about 9334.5297685529. The cubic root of 87133446 is about 443.3312002963.

The spelling of 87133446 in words is "eighty-seven million, one hundred thirty-three thousand, four hundred forty-six".