98645820 has 288 divisors, whose sum is σ = 361972800. Its totient is φ = 19869696.

The previous prime is 98645819. The next prime is 98645821. The reversal of 98645820 is 2854689.

It is an interprime number because it is at equal distance from previous prime (98645819) and next prime (98645821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98645821) 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, 1108336 + ... + 1108424.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^98645820 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 98645820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

98645820 is an abundant number, since it is smaller than the sum of its proper divisors (263326980).

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

98645820 is a wasteful number, since it uses less digits than its factorization.

98645820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

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

The square root of 98645820 is about 9932.0602092416. The cubic root of 98645820 is about 462.0541717929.

The spelling of 98645820 in words is "ninety-eight million, six hundred forty-five thousand, eight hundred twenty".