87066240 has 128 divisors (see below), whose sum is σ = 280393920. Its totient is φ = 22978560.

The previous prime is 87066223. The next prime is 87066263. The reversal of 87066240 is 4266078.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262875 + ... + 263205.

Almost surely, 2^87066240 is an apocalyptic number.

87066240 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 87066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140196960).

87066240 is an abundant number, since it is smaller than the sum of its proper divisors (193327680).

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

87066240 is a wasteful number, since it uses less digits than its factorization.

87066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 87066240 is about 9330.9292141780. The cubic root of 87066240 is about 443.2171905734.

The spelling of 87066240 in words is "eighty-seven million, sixty-six thousand, two hundred forty".