264971616 has 192 divisors, whose sum is σ = 874944000. Its totient is φ = 69769728.

The previous prime is 264971611. The next prime is 264971621. The reversal of 264971616 is 616179462.

264971616 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264971611) and next prime (264971621).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264971611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427755 + ... + 428373.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2^264971616 is an apocalyptic number.

264971616 is a gapful number since it is divisible by the number (26) 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 264971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

264971616 is an abundant number, since it is smaller than the sum of its proper divisors (609972384).

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

264971616 is a wasteful number, since it uses less digits than its factorization.

264971616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 264971616 is about 16277.9487651239. The cubic root of 264971616 is about 642.2928953425.

The spelling of 264971616 in words is "two hundred sixty-four million, nine hundred seventy-one thousand, six hundred sixteen".