13645420 has 48 divisors (see below), whose sum is σ = 30492000. Its totient is φ = 5114880.

The previous prime is 13645393. The next prime is 13645447. The reversal of 13645420 is 2454631.

13645420 = 331² + 332² + ... + 425².

It is an interprime number because it is at equal distance from previous prime (13645393) and next prime (13645447).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56500 + ... + 56740.

It is an arithmetic number, because the mean of its divisors is an integer number (635250).

Almost surely, 2^13645420 is an apocalyptic number.

13645420 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 13645420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246000).

13645420 is an abundant number, since it is smaller than the sum of its proper divisors (16846580).

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

13645420 is a wasteful number, since it uses less digits than its factorization.

13645420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 13645420 is about 3693.9707632844. The cubic root of 13645420 is about 238.9620686405.

The spelling of 13645420 in words is "thirteen million, six hundred forty-five thousand, four hundred twenty".