87482460 has 96 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 20397312.

The previous prime is 87482443. The next prime is 87482497. The reversal of 87482460 is 6428478.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11869 + ... + 17771.

It is an arithmetic number, because the mean of its divisors is an integer number (2892960).

Almost surely, 2^87482460 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 87482460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

87482460 is an abundant number, since it is smaller than the sum of its proper divisors (190241700).

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

87482460 is a wasteful number, since it uses less digits than its factorization.

87482460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 87482460 is about 9353.2058675087. The cubic root of 87482460 is about 443.9223344390.

It can be divided in two parts, 8748 and 2460, that multiplied together give a triangular number (21520080 = T₆₅₆₀).

The spelling of 87482460 in words is "eighty-seven million, four hundred eighty-two thousand, four hundred sixty".