87484752 has 80 divisors (see below), whose sum is σ = 252305280. Its totient is φ = 29023488.

The previous prime is 87484729. The next prime is 87484753. The reversal of 87484752 is 25748478.

It is a junction number, because it is equal to n+sod(n) for n = 87484698 and 87484707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87484753) 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 15 ways as a sum of consecutive naturals, for example, 134893 + ... + 135539.

It is an arithmetic number, because the mean of its divisors is an integer number (3153816).

Almost surely, 2^87484752 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 87484752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126152640).

87484752 is an abundant number, since it is smaller than the sum of its proper divisors (164820528).

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

87484752 is a wasteful number, since it uses less digits than its factorization.

87484752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 87484752 is about 9353.3283915406. The cubic root of 87484752 is about 443.9262112585.

The spelling of 87484752 in words is "eighty-seven million, four hundred eighty-four thousand, seven hundred fifty-two".