19141920 has 240 divisors, whose sum is σ = 77571648. Its totient is φ = 4354560.

The previous prime is 19141897. The next prime is 19141921. The reversal of 19141920 is 2914191.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19141921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90615 + ... + 90825.

Almost surely, 2^19141920 is an apocalyptic number.

19141920 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 19141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38785824).

19141920 is an abundant number, since it is smaller than the sum of its proper divisors (58429728).

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

19141920 is a wasteful number, since it uses less digits than its factorization.

19141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19141920 is about 4375.1479974968. The cubic root of 19141920 is about 267.5029026965.

The spelling of 19141920 in words is "nineteen million, one hundred forty-one thousand, nine hundred twenty".