16981536 has 96 divisors (see below), whose sum is σ = 52411968. Its totient is φ = 4746240.

The previous prime is 16981513. The next prime is 16981537. The reversal of 16981536 is 63518961.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 16981494 and 16981503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16981537) 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, 13110 + ... + 14346.

It is an arithmetic number, because the mean of its divisors is an integer number (545958).

Almost surely, 2^16981536 is an apocalyptic number.

16981536 is a gapful number since it is divisible by the number (16) 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 16981536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26205984).

16981536 is an abundant number, since it is smaller than the sum of its proper divisors (35430432).

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

16981536 is a wasteful number, since it uses less digits than its factorization.

16981536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 16981536 is about 4120.8659284184. The cubic root of 16981536 is about 257.0350348660.

The spelling of 16981536 in words is "sixteen million, nine hundred eighty-one thousand, five hundred thirty-six".