98165760 has 352 divisors, whose sum is σ = 396168192. Its totient is φ = 20152320.

The previous prime is 98165737. The next prime is 98165777. The reversal of 98165760 is 6756189.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182679 + ... + 1182761.

Almost surely, 2^98165760 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 98165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198084096).

98165760 is an abundant number, since it is smaller than the sum of its proper divisors (298002432).

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

98165760 is a wasteful number, since it uses less digits than its factorization.

98165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 98165760 is about 9907.8635436708. The cubic root of 98165760 is about 461.3034235754.

It can be divided in two parts, 9816 and 5760, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 98165760 in words is "ninety-eight million, one hundred sixty-five thousand, seven hundred sixty".