65904384 has 288 divisors, whose sum is σ = 230759424. Its totient is φ = 16220160.

The previous prime is 65904383. The next prime is 65904389. The reversal of 65904384 is 48340956.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65904383) 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, 1607404 + ... + 1607444.

It is an arithmetic number, because the mean of its divisors is an integer number (801248).

Almost surely, 2^65904384 is an apocalyptic number.

65904384 is a gapful number since it is divisible by the number (64) 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 65904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115379712).

65904384 is an abundant number, since it is smaller than the sum of its proper divisors (164855040).

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

65904384 is a wasteful number, since it uses less digits than its factorization.

65904384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 65904384 is about 8118.1515137376. The cubic root of 65904384 is about 403.9287525896.

It can be divided in two parts, 6 and 5904384, that multiplied together give a square (35426304 = 5952²).

The spelling of 65904384 in words is "sixty-five million, nine hundred four thousand, three hundred eighty-four".