13077024 has 48 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 4328960.

The previous prime is 13077023. The next prime is 13077047. The reversal of 13077024 is 42077031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13076985 and 13077003.

It is not an unprimeable number, because it can be changed into a prime (13077023) 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, 16804 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 2^13077024 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 13077024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

13077024 is an abundant number, since it is smaller than the sum of its proper divisors (21487296).

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

13077024 is a wasteful number, since it uses less digits than its factorization.

13077024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13077024 is about 3616.2168076596. The cubic root of 13077024 is about 235.5969372072.

The spelling of 13077024 in words is "thirteen million, seventy-seven thousand, twenty-four".