264104032 has 48 divisors (see below), whose sum is σ = 544918752. Its totient is φ = 125762560.

The previous prime is 264104021. The next prime is 264104033. The reversal of 264104032 is 230401462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 264103994 and 264104012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264104033) 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, 206178 + ... + 207454.

It is an arithmetic number, because the mean of its divisors is an integer number (11352474).

Almost surely, 2^264104032 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 264104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272459376).

264104032 is an abundant number, since it is smaller than the sum of its proper divisors (280814720).

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

264104032 is a wasteful number, since it uses less digits than its factorization.

264104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 264104032 is about 16251.2778574486. The cubic root of 264104032 is about 641.5911191280.

Adding to 264104032 its reverse (230401462), we get a palindrome (494505494).

The spelling of 264104032 in words is "two hundred sixty-four million, one hundred four thousand, thirty-two".