13077288 has 144 divisors (see below), whose sum is σ = 43374240. Its totient is φ = 3615840.

The previous prime is 13077287. The next prime is 13077299. The reversal of 13077288 is 88277031.

It is a super-2 number, since 2×13077288² = 342030922869888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13077287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 421833 + ... + 421863.

It is an arithmetic number, because the mean of its divisors is an integer number (301210).

Almost surely, 2^13077288 is an apocalyptic number.

13077288 is a gapful number since it is divisible by the number (18) 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 13077288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21687120).

13077288 is an abundant number, since it is smaller than the sum of its proper divisors (30296952).

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

13077288 is an equidigital number, since it uses as much as digits as its factorization.

13077288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13077288 is about 3616.2533097116. The cubic root of 13077288 is about 235.5985226131.

The spelling of 13077288 in words is "thirteen million, seventy-seven thousand, two hundred eighty-eight".