98735760 has 140 divisors (see below), whose sum is σ = 344386812. Its totient is φ = 26313984.

The previous prime is 98735753. The next prime is 98735821. The reversal of 98735760 is 6753789.

It is a happy number.

98735760 is a `hidden beast` number, since 9 + 8 + 73 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 62157456 = 6048^2 + 7884^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57474 + ... + 59166.

Almost surely, 2^98735760 is an apocalyptic number.

98735760 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 98735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172193406).

98735760 is an abundant number, since it is smaller than the sum of its proper divisors (245651052).

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

98735760 is a wasteful number, since it uses less digits than its factorization.

98735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 98735760 is about 9936.5869391859. The cubic root of 98735760 is about 462.1945545912.

The spelling of 98735760 in words is "ninety-eight million, seven hundred thirty-five thousand, seven hundred sixty".