13785048 has 24 divisors (see below), whose sum is σ = 37334700. Its totient is φ = 4594992.

The previous prime is 13785041. The next prime is 13785091. The reversal of 13785048 is 84058731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×13785048⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785041) 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 5 ways as a sum of consecutive naturals, for example, 95658 + ... + 95801.

Almost surely, 2^13785048 is an apocalyptic number.

13785048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13785048 is an abundant number, since it is smaller than the sum of its proper divisors (23549652).

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

13785048 is a wasteful number, since it uses less digits than its factorization.

13785048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191471 (or 191464 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13785048 is about 3712.8221072386. The cubic root of 13785048 is about 239.7743712818.

The spelling of 13785048 in words is "thirteen million, seven hundred eighty-five thousand, forty-eight".