264015840 has 192 divisors, whose sum is σ = 937101312. Its totient is φ = 61900800.

The previous prime is 264015803. The next prime is 264015841. The reversal of 264015840 is 48510462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264015798 and 264015807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264015841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162874 + ... + 164486.

It is an arithmetic number, because the mean of its divisors is an integer number (4880736).

Almost surely, 2^264015840 is an apocalyptic number.

264015840 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 264015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468550656).

264015840 is an abundant number, since it is smaller than the sum of its proper divisors (673085472).

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

264015840 is a wasteful number, since it uses less digits than its factorization.

264015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 264015840 is about 16248.5642442648. The cubic root of 264015840 is about 641.5196958799.

The spelling of 264015840 in words is "two hundred sixty-four million, fifteen thousand, eight hundred forty".