87282360 has 320 divisors, whose sum is σ = 334540800. Its totient is φ = 20217600.

The previous prime is 87282353. The next prime is 87282449. The reversal of 87282360 is 6328278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1104801 + ... + 1104879.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 2^87282360 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 87282360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

87282360 is an abundant number, since it is smaller than the sum of its proper divisors (247258440).

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

87282360 is a wasteful number, since it uses less digits than its factorization.

87282360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87282360 is about 9342.5028766386. The cubic root of 87282360 is about 443.5836125518.

The spelling of 87282360 in words is "eighty-seven million, two hundred eighty-two thousand, three hundred sixty".