13772640 has 96 divisors (see below), whose sum is σ = 49593600. Its totient is φ = 3147264.

The previous prime is 13772639. The next prime is 13772677. The reversal of 13772640 is 4627731.

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

It is a super-2 number, since 2×13772640² = 379371225139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13772598 and 13772607.

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, 1311 + ... + 5409.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 2^13772640 is an apocalyptic number.

13772640 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 13772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796800).

13772640 is an abundant number, since it is smaller than the sum of its proper divisors (35820960).

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

13772640 is a wasteful number, since it uses less digits than its factorization.

13772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13772640 is about 3711.1507649245. The cubic root of 13772640 is about 239.7024089284.

The spelling of 13772640 in words is "thirteen million, seven hundred seventy-two thousand, six hundred forty".