64768405 has 12 divisors (see below), whose sum is σ = 84161700. Its totient is φ = 47828352.

The previous prime is 64768399. The next prime is 64768409. The reversal of 64768405 is 50486746.

It can be written as a sum of positive squares in 6 ways, for example, as 2184484 + 62583921 = 1478^2 + 7911^2 .

It is not a de Polignac number, because 64768405 - 2¹¹ = 64766357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64768409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37480 + ... + 39169.

It is an arithmetic number, because the mean of its divisors is an integer number (7013475).

Almost surely, 2^64768405 is an apocalyptic number.

64768405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64768405 is a deficient number, since it is larger than the sum of its proper divisors (19393295).

64768405 is a wasteful number, since it uses less digits than its factorization.

64768405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76680 (or 76667 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 64768405 is about 8047.8820195130. The cubic root of 64768405 is about 401.5944793934.

The spelling of 64768405 in words is "sixty-four million, seven hundred sixty-eight thousand, four hundred five".