87452820 has 288 divisors, whose sum is σ = 344897280. Its totient is φ = 17418240.

The previous prime is 87452779. The next prime is 87452821. The reversal of 87452820 is 2825478.

It is a happy number.

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 (87452821) 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 95 ways as a sum of consecutive naturals, for example, 311080 + ... + 311360.

It is an arithmetic number, because the mean of its divisors is an integer number (1197560).

Almost surely, 2^87452820 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 87452820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172448640).

87452820 is an abundant number, since it is smaller than the sum of its proper divisors (257444460).

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

87452820 is a wasteful number, since it uses less digits than its factorization.

87452820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87452820 is about 9351.6212498155. The cubic root of 87452820 is about 443.8721935526.

The spelling of 87452820 in words is "eighty-seven million, four hundred fifty-two thousand, eight hundred twenty".