98001768 has 64 divisors (see below), whose sum is σ = 251919360. Its totient is φ = 31755456.

The previous prime is 98001763. The next prime is 98001793. The reversal of 98001768 is 86710089.

It is a super-2 number, since 2×98001768² = 19208693062251648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (98001763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319071 + ... + 319377.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240).

Almost surely, 2^98001768 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 98001768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125959680).

98001768 is an abundant number, since it is smaller than the sum of its proper divisors (153917592).

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

98001768 is a wasteful number, since it uses less digits than its factorization.

98001768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 98001768 is about 9899.5842336939. The cubic root of 98001768 is about 461.0464017236.

The spelling of 98001768 in words is "ninety-eight million, one thousand, seven hundred sixty-eight".