98765952 has 64 divisors (see below), whose sum is σ = 276175200. Its totient is φ = 31186944.

The previous prime is 98765923. The next prime is 98765957. The reversal of 98765952 is 25956789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 98765895 and 98765904.

It is not an unprimeable number, because it can be changed into a prime (98765957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528 + ... + 14064.

Almost surely, 2^98765952 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 98765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138087600).

98765952 is an abundant number, since it is smaller than the sum of its proper divisors (177409248).

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

98765952 is a wasteful number, since it uses less digits than its factorization.

98765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13573 (or 13561 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 98765952 is about 9938.1060569909. The cubic root of 98765952 is about 462.2416606443.

The spelling of 98765952 in words is "ninety-eight million, seven hundred sixty-five thousand, nine hundred fifty-two".