98846640 has 240 divisors, whose sum is σ = 356548608. Its totient is φ = 24482304.

The previous prime is 98846597. The next prime is 98846659. The reversal of 98846640 is 4664889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778257 + ... + 778383.

Almost surely, 2^98846640 is an apocalyptic number.

98846640 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 98846640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178274304).

98846640 is an abundant number, since it is smaller than the sum of its proper divisors (257701968).

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

98846640 is a wasteful number, since it uses less digits than its factorization.

98846640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 98846640 is about 9942.1647542173. The cubic root of 98846640 is about 462.3675042916.

The spelling of 98846640 in words is "ninety-eight million, eight hundred forty-six thousand, six hundred forty".