264398160 has 160 divisors (see below), whose sum is σ = 894192768. Its totient is φ = 64235520.

The previous prime is 264398119. The next prime is 264398207. The reversal of 264398160 is 61893462.

It is a super-2 number, since 2×264398160² = 139812774022771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258450 + ... + 259470.

Almost surely, 2^264398160 is an apocalyptic number.

264398160 is a gapful number since it is divisible by the number (20) 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 264398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447096384).

264398160 is an abundant number, since it is smaller than the sum of its proper divisors (629794608).

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

264398160 is a wasteful number, since it uses less digits than its factorization.

264398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 264398160 is about 16260.3247200048. The cubic root of 264398160 is about 641.8292070010.

The spelling of 264398160 in words is "two hundred sixty-four million, three hundred ninety-eight thousand, one hundred sixty".