87081042240 has 504 divisors, whose sum is σ = 313546098840. Its totient is φ = 22180773888.

The previous prime is 87081042239. The next prime is 87081042241. The reversal of 87081042240 is 4224018078.

It is an interprime number because it is at equal distance from previous prime (87081042239) and next prime (87081042241).

It can be written as a sum of positive squares in 12 ways, for example, as 6919577856 + 80161464384 = 83184^2 + 283128^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 87081042195 and 87081042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87081042241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 380266446 + ... + 380266674.

Almost surely, 2^87081042240 is an apocalyptic number.

87081042240 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 87081042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156773049420).

87081042240 is an abundant number, since it is smaller than the sum of its proper divisors (226465056600).

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

87081042240 is a wasteful number, since it uses less digits than its factorization.

87081042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 87081042240 in words is "eighty-seven billion, eighty-one million, forty-two thousand, two hundred forty".