16135680 has 160 divisors (see below), whose sum is σ = 56567808. Its totient is φ = 3891200.

The previous prime is 16135661. The next prime is 16135681. The reversal of 16135680 is 8653161.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16135681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84385 + ... + 84575.

Almost surely, 2^16135680 is an apocalyptic number.

16135680 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 16135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

16135680 is an abundant number, since it is smaller than the sum of its proper divisors (40432128).

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

16135680 is a wasteful number, since it uses less digits than its factorization.

16135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 16135680 is about 4016.9241964468. The cubic root of 16135680 is about 252.6944814127.

The spelling of 16135680 in words is "sixteen million, one hundred thirty-five thousand, six hundred eighty".