87739330224 has 960 divisors, whose sum is σ = 323169315840. Its totient is φ = 20210319360.

The previous prime is 87739330223. The next prime is 87739330229. The reversal of 87739330224 is 42203393778.

It is a super-2 number, since 2×87739330224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87739330223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 490163767 + ... + 490163945.

It is an arithmetic number, because the mean of its divisors is an integer number (336634704).

Almost surely, 2^87739330224 is an apocalyptic number.

87739330224 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 87739330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161584657920).

87739330224 is an abundant number, since it is smaller than the sum of its proper divisors (235429985616).

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

87739330224 is a wasteful number, since it uses less digits than its factorization.

87739330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 87739330224 in words is "eighty-seven billion, seven hundred thirty-nine million, three hundred thirty thousand, two hundred twenty-four".