87012240 has 200 divisors, whose sum is σ = 316759488. Its totient is φ = 19756800.

The previous prime is 87012227. The next prime is 87012241. The reversal of 87012240 is 4221078.

It is a super-2 number, since 2×87012240² = 15142259819635200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 87012240.

It is not an unprimeable number, because it can be changed into a prime (87012241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 576165 + ... + 576315.

Almost surely, 2^87012240 is an apocalyptic number.

87012240 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 87012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158379744).

87012240 is an abundant number, since it is smaller than the sum of its proper divisors (229747248).

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

87012240 is a wasteful number, since it uses less digits than its factorization.

87012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 87012240 is about 9328.0351628840. The cubic root of 87012240 is about 443.1255412803.

The spelling of 87012240 in words is "eighty-seven million, twelve thousand, two hundred forty".