65893632 has 216 divisors, whose sum is σ = 218102976. Its totient is φ = 17547264.

The previous prime is 65893627. The next prime is 65893637. The reversal of 65893632 is 23639856.

65893632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65893627) and next prime (65893637).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65893637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639693 + ... + 639795.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^65893632 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 65893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109051488).

65893632 is an abundant number, since it is smaller than the sum of its proper divisors (152209344).

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

65893632 is a wasteful number, since it uses less digits than its factorization.

65893632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 65893632 is about 8117.4892670086. The cubic root of 65893632 is about 403.9067850164.

The spelling of 65893632 in words is "sixty-five million, eight hundred ninety-three thousand, six hundred thirty-two".