98382960 has 240 divisors, whose sum is σ = 372101184. Its totient is φ = 23113728.

The previous prime is 98382959. The next prime is 98382979. The reversal of 98382960 is 6928389.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215052 + ... + 215508.

Almost surely, 2^98382960 is an apocalyptic number.

98382960 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 98382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186050592).

98382960 is an abundant number, since it is smaller than the sum of its proper divisors (273718224).

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

98382960 is a wasteful number, since it uses less digits than its factorization.

98382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 98382960 is about 9918.8184780245. The cubic root of 98382960 is about 461.6433971656.

The spelling of 98382960 in words is "ninety-eight million, three hundred eighty-two thousand, nine hundred sixty".