19649952 has 216 divisors, whose sum is σ = 69896736. Its totient is φ = 5318784.

The previous prime is 19649899. The next prime is 19649953. The reversal of 19649952 is 25994691.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×19649952² = 772241227204608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19649898 and 19649907.

It is not an unprimeable number, because it can be changed into a prime (19649953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1034199 + ... + 1034217.

It is an arithmetic number, because the mean of its divisors is an integer number (323596).

Almost surely, 2^19649952 is an apocalyptic number.

19649952 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 19649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948368).

19649952 is an abundant number, since it is smaller than the sum of its proper divisors (50246784).

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

19649952 is an equidigital number, since it uses as much as digits as its factorization.

19649952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 31 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 19649952 is about 4432.8266377110. The cubic root of 19649952 is about 269.8488042374.

The spelling of 19649952 in words is "nineteen million, six hundred forty-nine thousand, nine hundred fifty-two".