13953120 has 96 divisors (see below), whose sum is σ = 45087840. Its totient is φ = 3624960.

The previous prime is 13953103. The next prime is 13953143. The reversal of 13953120 is 2135931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19326 + ... + 20034.

It is an arithmetic number, because the mean of its divisors is an integer number (469665).

Almost surely, 2^13953120 is an apocalyptic number.

13953120 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 13953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22543920).

13953120 is an abundant number, since it is smaller than the sum of its proper divisors (31134720).

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

13953120 is a wasteful number, since it uses less digits than its factorization.

13953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13953120 is about 3735.3875300964. The cubic root of 13953120 is about 240.7449077984.

The spelling of 13953120 in words is "thirteen million, nine hundred fifty-three thousand, one hundred twenty".