98891460 has 72 divisors (see below), whose sum is σ = 303390360. Its totient is φ = 26070528.

The previous prime is 98891459. The next prime is 98891461. The reversal of 98891460 is 6419889.

It is an interprime number because it is at equal distance from previous prime (98891459) and next prime (98891461).

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 95296644 = 1896^2 + 9762^2 .

It is a super-3 number, since 3×98891460³ (a number of 25 digits) contains 333 as substring.

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 (98891461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12934 + ... + 19106.

It is an arithmetic number, because the mean of its divisors is an integer number (4213755).

Almost surely, 2^98891460 is an apocalyptic number.

98891460 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 98891460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151695180).

98891460 is an abundant number, since it is smaller than the sum of its proper divisors (204498900).

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

98891460 is a wasteful number, since it uses less digits than its factorization.

98891460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 98891460 is about 9944.4185350376. The cubic root of 98891460 is about 462.4373774477.

The spelling of 98891460 in words is "ninety-eight million, eight hundred ninety-one thousand, four hundred sixty".