65393136 has 160 divisors (see below), whose sum is σ = 204748800. Its totient is φ = 19906560.

The previous prime is 65393123. The next prime is 65393137. The reversal of 65393136 is 63139356.

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

Its product of digits (43740) is a multiple of the sum of its prime factors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 65393136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65393137) 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, 254320 + ... + 254576.

It is an arithmetic number, because the mean of its divisors is an integer number (1279680).

Almost surely, 2^65393136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65393136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102374400).

65393136 is an abundant number, since it is smaller than the sum of its proper divisors (139355664).

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

65393136 is a wasteful number, since it uses less digits than its factorization.

65393136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 65393136 is about 8086.6022531098. The cubic root of 65393136 is about 402.8815583728.

The spelling of 65393136 in words is "sixty-five million, three hundred ninety-three thousand, one hundred thirty-six".