87481548 has 216 divisors, whose sum is σ = 294344960. Its totient is φ = 21384000.

The previous prime is 87481543. The next prime is 87481553. The reversal of 87481548 is 84518478.

It is an interprime number because it is at equal distance from previous prime (87481543) and next prime (87481553).

It is not an unprimeable number, because it can be changed into a prime (87481543) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579273 + ... + 579423.

Almost surely, 2^87481548 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 87481548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147172480).

87481548 is an abundant number, since it is smaller than the sum of its proper divisors (206863412).

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

87481548 is a wasteful number, since it uses less digits than its factorization.

87481548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 87481548 is about 9353.1571140444. The cubic root of 87481548 is about 443.9207918114.

It can be divided in two parts, 8748 and 1548, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 87481548 in words is "eighty-seven million, four hundred eighty-one thousand, five hundred forty-eight".