65268720 has 320 divisors, whose sum is σ = 254983680. Its totient is φ = 15206400.

The previous prime is 65268631. The next prime is 65268737. The reversal of 65268720 is 2786256.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 974127 + ... + 974193.

It is an arithmetic number, because the mean of its divisors is an integer number (796824).

Almost surely, 2^65268720 is an apocalyptic number.

65268720 is a gapful number since it is divisible by the number (60) 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 65268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

65268720 is an abundant number, since it is smaller than the sum of its proper divisors (189714960).

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

65268720 is a wasteful number, since it uses less digits than its factorization.

65268720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 65268720 is about 8078.9058665144. The cubic root of 65268720 is about 402.6258906904.

The spelling of 65268720 in words is "sixty-five million, two hundred sixty-eight thousand, seven hundred twenty".