19958016 has 72 divisors (see below), whose sum is σ = 57232000. Its totient is φ = 6137856.

The previous prime is 19958011. The next prime is 19958039. The reversal of 19958016 is 61085991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19958011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8985 + ... + 10983.

Almost surely, 2^19958016 is an apocalyptic number.

19958016 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 19958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28616000).

19958016 is an abundant number, since it is smaller than the sum of its proper divisors (37273984).

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

19958016 is a wasteful number, since it uses less digits than its factorization.

19958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 19958016 is about 4467.4395351252. The cubic root of 19958016 is about 271.2516917504.

It can be divided in two parts, 1995 and 8016, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 19958016 in words is "nineteen million, nine hundred fifty-eight thousand, sixteen".