264016540 has 72 divisors (see below), whose sum is σ = 594149472. Its totient is φ = 98334720.

The previous prime is 264016481. The next prime is 264016547. The reversal of 264016540 is 45610462.

It is a junction number, because it is equal to n+sod(n) for n = 264016499 and 264016508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264016547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2721772 + ... + 2721868.

It is an arithmetic number, because the mean of its divisors is an integer number (8252076).

Almost surely, 2^264016540 is an apocalyptic number.

264016540 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 264016540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297074736).

264016540 is an abundant number, since it is smaller than the sum of its proper divisors (330132932).

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

264016540 is a wasteful number, since it uses less digits than its factorization.

264016540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 264016540 is about 16248.5857846152. The cubic root of 264016540 is about 641.5202628451.

The spelling of 264016540 in words is "two hundred sixty-four million, sixteen thousand, five hundred forty".