1377264 has 40 divisors (see below), whose sum is σ = 4067200. Its totient is φ = 393408.

The previous prime is 1377223. The next prime is 1377269. The reversal of 1377264 is 4627731.

It is a super-2 number, since 2×1377264² = 3793712251392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (101680).

2^1377264 is an apocalyptic number.

1377264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1377264 is an abundant number, since it is smaller than the sum of its proper divisors (2689936).

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

1377264 is a wasteful number, since it uses less digits than its factorization.

1377264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4111 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 1377264 is about 1173.5689157438. The cubic root of 1377264 is about 111.2600024672.

It can be divided in two parts, 13 and 77264, that added together give a palindrome (77277).

The spelling of 1377264 in words is "one million, three hundred seventy-seven thousand, two hundred sixty-four".