1361376 has 72 divisors (see below), whose sum is σ = 4029480. Its totient is φ = 435456.

The previous prime is 1361363. The next prime is 1361383. The reversal of 1361376 is 6731631.

1361376 = 36³ + 37³ + ... + 51³.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1361376² = 3706689226752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8271 + ... + 8433.

It is an arithmetic number, because the mean of its divisors is an integer number (55965).

2^1361376 is an apocalyptic number.

1361376 is a gapful number since it is divisible by the number (16) 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 1361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014740).

1361376 is an abundant number, since it is smaller than the sum of its proper divisors (2668104).

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

1361376 is a wasteful number, since it uses less digits than its factorization.

1361376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1361376 is about 1166.7801849534. The cubic root of 1361376 is about 110.8305180785.

It can be divided in two parts, 13613 and 76, that added together give a square (13689 = 117²).

The spelling of 1361376 in words is "one million, three hundred sixty-one thousand, three hundred seventy-six".