65388960 has 288 divisors, whose sum is σ = 275184000. Its totient is φ = 13768704.

The previous prime is 65388959. The next prime is 65388971. The reversal of 65388960 is 6988356.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130791 + ... + 131289.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^65388960 is an apocalyptic number.

65388960 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 65388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

65388960 is an abundant number, since it is smaller than the sum of its proper divisors (209795040).

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

65388960 is a wasteful number, since it uses less digits than its factorization.

65388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 65388960 is about 8086.3440441277. The cubic root of 65388960 is about 402.8729821964.

The spelling of 65388960 in words is "sixty-five million, three hundred eighty-eight thousand, nine hundred sixty".