98971264 has 32 divisors (see below), whose sum is σ = 225338400. Its totient is φ = 42415872.

The previous prime is 98971241. The next prime is 98971267. The reversal of 98971264 is 46217989.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×98971264² = 19590622195515392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98971267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54334 + ... + 56125.

It is an arithmetic number, because the mean of its divisors is an integer number (7041825).

Almost surely, 2^98971264 is an apocalyptic number.

It is an amenable number.

98971264 is an abundant number, since it is smaller than the sum of its proper divisors (126367136).

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

98971264 is a wasteful number, since it uses less digits than its factorization.

98971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110480 (or 110468 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 98971264 is about 9948.4302279304. The cubic root of 98971264 is about 462.5617374610.

It can be divided in two parts, 98971 and 264, that added together give a triangular number (99235 = T₄₄₅).

The spelling of 98971264 in words is "ninety-eight million, nine hundred seventy-one thousand, two hundred sixty-four".