98687160 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 21772800.

The previous prime is 98687153. The next prime is 98687161. The reversal of 98687160 is 6178689.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98687161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1389925 + ... + 1389995.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^98687160 is an apocalyptic number.

98687160 is a gapful number since it is divisible by the number (90) 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 98687160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

98687160 is an abundant number, since it is smaller than the sum of its proper divisors (297577800).

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

98687160 is a wasteful number, since it uses less digits than its factorization.

98687160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 98687160 is about 9934.1411304652. The cubic root of 98687160 is about 462.1187079006.

The spelling of 98687160 in words is "ninety-eight million, six hundred eighty-seven thousand, one hundred sixty".