13770460 has 48 divisors (see below), whose sum is σ = 32169312. Its totient is φ = 4908800.

The previous prime is 13770437. The next prime is 13770461. The reversal of 13770460 is 6407731.

It is a super-2 number, since 2×13770460² = 379251137223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11070 + ... + 12250.

It is an arithmetic number, because the mean of its divisors is an integer number (670194).

Almost surely, 2^13770460 is an apocalyptic number.

13770460 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 13770460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084656).

13770460 is an abundant number, since it is smaller than the sum of its proper divisors (18398852).

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

13770460 is a wasteful number, since it uses less digits than its factorization.

13770460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 13770460 is about 3710.8570438647. The cubic root of 13770460 is about 239.6897611760.

The spelling of 13770460 in words is "thirteen million, seven hundred seventy thousand, four hundred sixty".