87484740 has 144 divisors (see below), whose sum is σ = 295972992. Its totient is φ = 18911232.

The previous prime is 87484729. The next prime is 87484753. The reversal of 87484740 is 4748478.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 87484692 and 87484701.

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 47 ways as a sum of consecutive naturals, for example, 151332 + ... + 151908.

It is an arithmetic number, because the mean of its divisors is an integer number (2055368).

Almost surely, 2^87484740 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 87484740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147986496).

87484740 is an abundant number, since it is smaller than the sum of its proper divisors (208488252).

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

87484740 is a wasteful number, since it uses less digits than its factorization.

87484740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 87484740 is about 9353.3277500577. The cubic root of 87484740 is about 443.9261909612.

The spelling of 87484740 in words is "eighty-seven million, four hundred eighty-four thousand, seven hundred forty".