65253888 has 270 divisors, whose sum is σ = 232719201. Its totient is φ = 17547264.

The previous prime is 65253863. The next prime is 65253893. The reversal of 65253888 is 88835256.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 5531904 = 7728^2 + 2352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5712.

Its product of digits (460800) is a multiple of the sum of its prime factors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3838456 + ... + 3838472.

Almost surely, 2^65253888 is an apocalyptic number.

65253888 is a gapful number since it is divisible by the number (68) 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 65253888

65253888 is an abundant number, since it is smaller than the sum of its proper divisors (167465313).

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

65253888 is a wasteful number, since it uses less digits than its factorization.

65253888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 65253888 is about 8077.9878682751. The cubic root of 65253888 is about 402.5953901197.

Multiplying 65253888 by its product of digits (460800), we get a square (30068991590400 = 5483520²).

The spelling of 65253888 in words is "sixty-five million, two hundred fifty-three thousand, eight hundred eighty-eight".