65288160 has 384 divisors, whose sum is σ = 278691840. Its totient is φ = 13934592.

The previous prime is 65288159. The next prime is 65288189. The reversal of 65288160 is 6188256.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514017 + ... + 514143.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^65288160 is an apocalyptic number.

65288160 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 65288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

65288160 is an abundant number, since it is smaller than the sum of its proper divisors (213403680).

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

65288160 is a wasteful number, since it uses less digits than its factorization.

65288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 65288160 is about 8080.1089101571. The cubic root of 65288160 is about 402.6658601702.

65288160 divided by its sum of digits (36) gives a triangular number (1813560 = T₁₉₀₄).

The spelling of 65288160 in words is "sixty-five million, two hundred eighty-eight thousand, one hundred sixty".