13456900 has 36 divisors (see below), whose sum is σ = 29998948. Its totient is φ = 5235840.

The previous prime is 13456879. The next prime is 13456901. The reversal of 13456900 is 965431.

It can be written as a sum of positive squares in 6 ways, for example, as 669124 + 12787776 = 818^2 + 3576^2 .

It is a super-2 number, since 2×13456900² = 362176315220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13456901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1882 + ... + 5518.

Almost surely, 2^13456900 is an apocalyptic number.

13456900 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 13456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999474).

13456900 is an abundant number, since it is smaller than the sum of its proper divisors (16542048).

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

13456900 is a wasteful number, since it uses less digits than its factorization.

13456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 13456900 is about 3668.3647583085. The cubic root of 13456900 is about 237.8564914103.

It can be divided in two parts, 13456 and 900, that multiplied together give a square (12110400 = 3480²).

The spelling of 13456900 in words is "thirteen million, four hundred fifty-six thousand, nine hundred".