87433120 has 72 divisors (see below), whose sum is σ = 216141156. Its totient is φ = 33420288.

The previous prime is 87433067. The next prime is 87433121. The reversal of 87433120 is 2133478.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 4477456 = 9108^2 + 2116^2 .

It is not an unprimeable number, because it can be changed into a prime (87433121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84124 + ... + 85156.

Almost surely, 2^87433120 is an apocalyptic number.

87433120 is a gapful number since it is divisible by the number (80) 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 87433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108070578).

87433120 is an abundant number, since it is smaller than the sum of its proper divisors (128708036).

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

87433120 is a wasteful number, since it uses less digits than its factorization.

87433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 87433120 is about 9350.5678971921. The cubic root of 87433120 is about 443.8388615271.

Adding to 87433120 its reverse (2133478), we get a palindrome (89566598).

The spelling of 87433120 in words is "eighty-seven million, four hundred thirty-three thousand, one hundred twenty".