87098760 has 256 divisors, whose sum is σ = 341107200. Its totient is φ = 19353600.

The previous prime is 87098731. The next prime is 87098761. The reversal of 87098760 is 6789078.

87098760 = 67³ + 68³ + ... + 138³.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87098761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309820 + ... + 310100.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 2^87098760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87098760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170553600).

87098760 is an abundant number, since it is smaller than the sum of its proper divisors (254008440).

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

87098760 is a wasteful number, since it uses less digits than its factorization.

87098760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87098760 is about 9332.6716432113. The cubic root of 87098760 is about 443.2723655333.

87098760 divided by its sum of digits (45) gives a triangular number (1935528 = T₁₉₆₇).

The spelling of 87098760 in words is "eighty-seven million, ninety-eight thousand, seven hundred sixty".