87240112344 has 864 divisors, whose sum is σ = 324870109200. Its totient is φ = 21878398080.

The previous prime is 87240112307. The next prime is 87240112357. The reversal of 87240112344 is 44321104278.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×87240112344² (a number of 23 digits) contains 22 as substring.

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 = 87240112299 and 87240112308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3008279722 + ... + 3008279750.

Almost surely, 2^87240112344 is an apocalyptic number.

87240112344 is a gapful number since it is divisible by the number (84) 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 87240112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162435054600).

87240112344 is an abundant number, since it is smaller than the sum of its proper divisors (237629996856).

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

87240112344 is a wasteful number, since it uses less digits than its factorization.

87240112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 87240112344 in words is "eighty-seven billion, two hundred forty million, one hundred twelve thousand, three hundred forty-four".