19348992 has 240 divisors, whose sum is σ = 67026960. Its totient is φ = 5308416.

The previous prime is 19348981. The next prime is 19348999. The reversal of 19348992 is 29984391.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19348999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018359 + ... + 1018377.

It is an arithmetic number, because the mean of its divisors is an integer number (279279).

Almost surely, 2^19348992 is an apocalyptic number.

19348992 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 19348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

19348992 is an abundant number, since it is smaller than the sum of its proper divisors (47677968).

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

19348992 is a wasteful number, since it uses less digits than its factorization.

19348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 19348992 is about 4398.7489130433. The cubic root of 19348992 is about 268.4640360474.

The spelling of 19348992 in words is "nineteen million, three hundred forty-eight thousand, nine hundred ninety-two".