19059040 has 288 divisors, whose sum is σ = 65155104. Its totient is φ = 5160960.

The previous prime is 19059011. The next prime is 19059043. The reversal of 19059040 is 4095091.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19059043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121112 + ... + 1121128.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

Almost surely, 2^19059040 is an apocalyptic number.

19059040 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 19059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577552).

19059040 is an abundant number, since it is smaller than the sum of its proper divisors (46096064).

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

19059040 is a wasteful number, since it uses less digits than its factorization.

19059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 19059040 is about 4365.6660431142. Note that the first 3 decimals coincide. The cubic root of 19059040 is about 267.1162693172.

The spelling of 19059040 in words is "nineteen million, fifty-nine thousand, forty".