247493664 has 96 divisors (see below), whose sum is σ = 787510080. Its totient is φ = 74995200.

The previous prime is 247493647. The next prime is 247493689. The reversal of 247493664 is 466394742.

It is a happy number.

247493664 is a `hidden beast` number, since 247 + 49 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×247493664² = 122506227440289792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3517 + ... + 22524.

It is an arithmetic number, because the mean of its divisors is an integer number (8203230).

Almost surely, 2^247493664 is an apocalyptic number.

247493664 is a gapful number since it is divisible by the number (24) 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 247493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393755040).

247493664 is an abundant number, since it is smaller than the sum of its proper divisors (540016416).

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

247493664 is a wasteful number, since it uses less digits than its factorization.

247493664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26071 (or 26057 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 247493664 is about 15731.9313499646. The cubic root of 247493664 is about 627.8482600920.

The spelling of 247493664 in words is "two hundred forty-seven million, four hundred ninety-three thousand, six hundred sixty-four".