19945632 has 96 divisors (see below), whose sum is σ = 60867072. Its totient is φ = 5601024.

The previous prime is 19945621. The next prime is 19945691. The reversal of 19945632 is 23654991.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44803 + ... + 45245.

It is an arithmetic number, because the mean of its divisors is an integer number (634032).

Almost surely, 2^19945632 is an apocalyptic number.

19945632 is a gapful number since it is divisible by the number (12) 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 19945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30433536).

19945632 is an abundant number, since it is smaller than the sum of its proper divisors (40921440).

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

19945632 is a wasteful number, since it uses less digits than its factorization.

19945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 19945632 is about 4466.0532912181. The cubic root of 19945632 is about 271.1955760192.

It can be divided in two parts, 1994 and 5632, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 19945632 in words is "nineteen million, nine hundred forty-five thousand, six hundred thirty-two".