98528640 has 128 divisors (see below), whose sum is σ = 358974720. Its totient is φ = 22517760.

The previous prime is 98528629. The next prime is 98528641. The reversal of 98528640 is 4682589.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 98528592 and 98528601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98528641) 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, 9775 + ... + 17105.

It is an arithmetic number, because the mean of its divisors is an integer number (2804490).

Almost surely, 2^98528640 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 98528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179487360).

98528640 is an abundant number, since it is smaller than the sum of its proper divisors (260446080).

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

98528640 is a wasteful number, since it uses less digits than its factorization.

98528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 98528640 is about 9926.1593781281. The cubic root of 98528640 is about 461.8711433896.

The spelling of 98528640 in words is "ninety-eight million, five hundred twenty-eight thousand, six hundred forty".