13264020 has 288 divisors, whose sum is σ = 53625600. Its totient is φ = 2661120.

The previous prime is 13264003. The next prime is 13264037. The reversal of 13264020 is 2046231.

It is a happy number.

13264020 is a `hidden beast` number, since 1 + 3 + 2 + 640 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13264003) and next prime (13264037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13263984 and 13264002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457366 + ... + 457394.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 2^13264020 is an apocalyptic number.

13264020 is a gapful number since it is divisible by the number (10) 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 13264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

13264020 is an abundant number, since it is smaller than the sum of its proper divisors (40361580).

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

13264020 is a wasteful number, since it uses less digits than its factorization.

13264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13264020 is about 3641.9802305888. The cubic root of 13264020 is about 236.7146059955.

The spelling of 13264020 in words is "thirteen million, two hundred sixty-four thousand, twenty".