19740672 has 240 divisors, whose sum is σ = 71351280. Its totient is φ = 5308416.

The previous prime is 19740667. The next prime is 19740691. The reversal of 19740672 is 27604791.

It is a happy number.

It is a super-3 number, since 3×19740672³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161208 + ... + 1161224.

It is an arithmetic number, because the mean of its divisors is an integer number (297297).

Almost surely, 2^19740672 is an apocalyptic number.

19740672 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 19740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

19740672 is an abundant number, since it is smaller than the sum of its proper divisors (51610608).

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

19740672 is an equidigital number, since it uses as much as digits as its factorization.

19740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 19740672 is about 4443.0476027160. The cubic root of 19740672 is about 270.2634465679.

The spelling of 19740672 in words is "nineteen million, seven hundred forty thousand, six hundred seventy-two".