13550400 has 126 divisors (see below), whose sum is σ = 48212502. Its totient is φ = 3609600.

The previous prime is 13550347. The next prime is 13550413. The reversal of 13550400 is 405531.

It can be written as a sum of positive squares in 3 ways, for example, as 1272384 + 12278016 = 1128^2 + 3504^2 .

It is a super-2 number, since 2×13550400² = 367226680320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13930 + ... + 14870.

Almost surely, 2^13550400 is an apocalyptic number.

13550400 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 13550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106251).

13550400 is an abundant number, since it is smaller than the sum of its proper divisors (34662102).

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

13550400 is a wasteful number, since it uses less digits than its factorization.

13550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13550400 is about 3681.0867960427. The cubic root of 13550400 is about 238.4061046738.

Adding to 13550400 its reverse (405531), we get a palindrome (13955931).

The spelling of 13550400 in words is "thirteen million, five hundred fifty thousand, four hundred".