64786401 has 9 divisors (see below), whose sum is σ = 93615249. Its totient is φ = 43174836.

The previous prime is 64786391. The next prime is 64786411. The reversal of 64786401 is 10468746.

The square root of 64786401 is 8049.

It is a perfect power (a square), and thus also a powerful number.

64786401 is a `hidden beast` number, since 6 + 4 + 7 + 8 + 640 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (64786391) and next prime (64786411).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 64786401 - 2¹⁷ = 64655329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64786411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22806 + ... + 25488.

Almost surely, 2^64786401 is an apocalyptic number.

64786401 is the 8049-th square number.

64786401 is the 4025-th centered octagonal number.

It is an amenable number.

64786401 is a deficient number, since it is larger than the sum of its proper divisors (28828848).

64786401 is an frugal number, since it uses more digits than its factorization.

64786401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 64786401 is about 401.6316704950.

Multiplying 64786401 by its sum of digits (36), we get a square (2332310436 = 48294²).

The spelling of 64786401 in words is "sixty-four million, seven hundred eighty-six thousand, four hundred one".