65738304 has 98 divisors (see below), whose sum is σ = 195723510. Its totient is φ = 21897216.

The previous prime is 65738263. The next prime is 65738311. The reversal of 65738304 is 40383756.

It is a happy number.

65738304 is a `hidden beast` number, since 6 + 573 + 83 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 29160000 = 6048^2 + 5400^2 .

It is a super-2 number, since 2×65738304² = 8643049225592832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45952 + ... + 47360.

Almost surely, 2^65738304 is an apocalyptic number.

65738304 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 65738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97861755).

65738304 is an abundant number, since it is smaller than the sum of its proper divisors (129985206).

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

65738304 is an equidigital number, since it uses as much as digits as its factorization.

65738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 65738304 is about 8107.9161317813. The cubic root of 65738304 is about 403.5891650768.

The spelling of 65738304 in words is "sixty-five million, seven hundred thirty-eight thousand, three hundred four".