65742336 has 120 divisors (see below), whose sum is σ = 207145224. Its totient is φ = 19906560.

The previous prime is 65742329. The next prime is 65742353. The reversal of 65742336 is 63324756.

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

It is a self number, because there is not a number n which added to its sum of digits gives 65742336.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 50040 + ... + 51336.

Almost surely, 2^65742336 is an apocalyptic number.

65742336 is a gapful number since it is divisible by the number (66) 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 65742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103572612).

65742336 is an abundant number, since it is smaller than the sum of its proper divisors (141402888).

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

65742336 is a wasteful number, since it uses less digits than its factorization.

65742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 65742336 is about 8108.1647738560. The cubic root of 65742336 is about 403.5974161681.

The spelling of 65742336 in words is "sixty-five million, seven hundred forty-two thousand, three hundred thirty-six".