87533280 has 144 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 23046144.

The previous prime is 87533279. The next prime is 87533287. The reversal of 87533280 is 8233578.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87533287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127819 + ... + 128501.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^87533280 is an apocalyptic number.

87533280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87533280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

87533280 is an abundant number, since it is smaller than the sum of its proper divisors (214972560).

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

87533280 is a wasteful number, since it uses less digits than its factorization.

87533280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87533280 is about 9355.9221886461. The cubic root of 87533280 is about 444.0082783945.

The spelling of 87533280 in words is "eighty-seven million, five hundred thirty-three thousand, two hundred eighty".