19053840 has 160 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 4515840.

The previous prime is 19053829. The next prime is 19053851. The reversal of 19053840 is 4835091.

It is an interprime number because it is at equal distance from previous prime (19053829) and next prime (19053851).

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

It is a junction number, because it is equal to n+sod(n) for n = 19053798 and 19053807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96622 + ... + 96818.

Almost surely, 2^19053840 is an apocalyptic number.

19053840 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 19053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

19053840 is an abundant number, since it is smaller than the sum of its proper divisors (46941936).

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

19053840 is a wasteful number, since it uses less digits than its factorization.

19053840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 19053840 is about 4365.0704461669. The cubic root of 19053840 is about 267.0919740931.

The spelling of 19053840 in words is "nineteen million, fifty-three thousand, eight hundred forty".