19964100 has 72 divisors (see below), whose sum is σ = 62218240. Its totient is φ = 4913280.

The previous prime is 19964099. The next prime is 19964111. The reversal of 19964100 is 146991.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341 + ... + 6459.

Almost surely, 2^19964100 is an apocalyptic number.

19964100 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 19964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31109120).

19964100 is an abundant number, since it is smaller than the sum of its proper divisors (42254140).

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

19964100 is a wasteful number, since it uses less digits than its factorization.

19964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 19964100 is about 4468.1204101949. The cubic root of 19964100 is about 271.2792517315.

The spelling of 19964100 in words is "nineteen million, nine hundred sixty-four thousand, one hundred".