6401376 has 96 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 2056320.

The previous prime is 6401363. The next prime is 6401377. The reversal of 6401376 is 6731046.

6401376 is a `hidden beast` number, since 640 + 13 + 7 + 6 = 666.

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

It is a super-2 number, since 2×6401376² = 81955229386752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26665 + ... + 26903.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^6401376 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 6401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6401376 is an abundant number, since it is smaller than the sum of its proper divisors (12952224).

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

6401376 is a wasteful number, since it uses less digits than its factorization.

6401376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6401376 is about 2530.0940693974. The cubic root of 6401376 is about 185.6768582790.

It can be divided in two parts, 640 and 1376, that added together give a triangular number (2016 = T₆₃).

The spelling of 6401376 in words is "six million, four hundred one thousand, three hundred seventy-six".