65377632 has 96 divisors (see below), whose sum is σ = 183496320. Its totient is φ = 20321280.

The previous prime is 65377621. The next prime is 65377639. The reversal of 65377632 is 23677356.

65377632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (158760) is a multiple of the sum of its prime divisors (588).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65377639) 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 15 ways as a sum of consecutive naturals, for example, 132907 + ... + 133397.

It is an arithmetic number, because the mean of its divisors is an integer number (1911420).

Almost surely, 2^65377632 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 65377632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91748160).

65377632 is an abundant number, since it is smaller than the sum of its proper divisors (118118688).

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

65377632 is a wasteful number, since it uses less digits than its factorization.

65377632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 158760, while the sum is 39.

The square root of 65377632 is about 8085.6435736433. The cubic root of 65377632 is about 402.8497162470.

The spelling of 65377632 in words is "sixty-five million, three hundred seventy-seven thousand, six hundred thirty-two".