13960400 has 60 divisors (see below), whose sum is σ = 35530092. Its totient is φ = 5253120.

The previous prime is 13960391. The next prime is 13960409. The reversal of 13960400 is 406931.

It is an interprime number because it is at equal distance from previous prime (13960391) and next prime (13960409).

It can be written as a sum of positive squares in 6 ways, for example, as 2704 + 13957696 = 52^2 + 3736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13960409) 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, 5774 + ... + 7826.

Almost surely, 2^13960400 is an apocalyptic number.

13960400 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 13960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765046).

13960400 is an abundant number, since it is smaller than the sum of its proper divisors (21569692).

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

13960400 is a wasteful number, since it uses less digits than its factorization.

13960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13960400 is about 3736.3618668432. The cubic root of 13960400 is about 240.7867698386.

The spelling of 13960400 in words is "thirteen million, nine hundred sixty thousand, four hundred".