19962768 has 160 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5211648.

The previous prime is 19962757. The next prime is 19962769. The reversal of 19962768 is 86726991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19962769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338323 + ... + 338381.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^19962768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19962768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

19962768 is an abundant number, since it is smaller than the sum of its proper divisors (44318832).

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

19962768 is a wasteful number, since it uses less digits than its factorization.

19962768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 19962768 is about 4467.9713517434. The cubic root of 19962768 is about 271.2732183683.

The spelling of 19962768 in words is "nineteen million, nine hundred sixty-two thousand, seven hundred sixty-eight".