98691264 has 224 divisors, whose sum is σ = 341376000. Its totient is φ = 27371520.

The previous prime is 98691253. The next prime is 98691269. The reversal of 98691264 is 46219689.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98691269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495837 + ... + 496035.

It is an arithmetic number, because the mean of its divisors is an integer number (1524000).

Almost surely, 2^98691264 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 98691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

98691264 is an abundant number, since it is smaller than the sum of its proper divisors (242684736).

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

98691264 is a wasteful number, since it uses less digits than its factorization.

98691264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

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

The square root of 98691264 is about 9934.3476887011. The cubic root of 98691264 is about 462.1251136947.

The spelling of 98691264 in words is "ninety-eight million, six hundred ninety-one thousand, two hundred sixty-four".