87084456 has 64 divisors (see below), whose sum is σ = 228218880. Its totient is φ = 27656640.

The previous prime is 87084443. The next prime is 87084457. The reversal of 87084456 is 65448078.

It is not an unprimeable number, because it can be changed into a prime (87084457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48975 + ... + 50721.

It is an arithmetic number, because the mean of its divisors is an integer number (3565920).

Almost surely, 2^87084456 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 87084456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114109440).

87084456 is an abundant number, since it is smaller than the sum of its proper divisors (141134424).

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

87084456 is a wasteful number, since it uses less digits than its factorization.

87084456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 87084456 is about 9331.9052717010. The cubic root of 87084456 is about 443.2480983870.

The spelling of 87084456 in words is "eighty-seven million, eighty-four thousand, four hundred fifty-six".