13769952 has 96 divisors (see below), whose sum is σ = 42706944. Its totient is φ = 3801600.

The previous prime is 13769941. The next prime is 13769981. The reversal of 13769952 is 25996731.

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

It is a super-2 number, since 2×13769952² = 379223156164608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 20502 + ... + 21162.

It is an arithmetic number, because the mean of its divisors is an integer number (444864).

Almost surely, 2^13769952 is an apocalyptic number.

13769952 is a gapful number since it is divisible by the number (12) 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 13769952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353472).

13769952 is an abundant number, since it is smaller than the sum of its proper divisors (28936992).

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

13769952 is a wasteful number, since it uses less digits than its factorization.

13769952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 13769952 is about 3710.7885954336. The cubic root of 13769952 is about 239.6868137098.

The spelling of 13769952 in words is "thirteen million, seven hundred sixty-nine thousand, nine hundred fifty-two".