190947840 has 240 divisors, whose sum is σ = 651708288. Its totient is φ = 47669248.

The previous prime is 190947833. The next prime is 190947877. The reversal of 190947840 is 48749091.

190947840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×190947840² = 72922155201331200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 190947792 and 190947801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4062697 + ... + 4062743.

Almost surely, 2^190947840 is an apocalyptic number.

190947840 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 190947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325854144).

190947840 is an abundant number, since it is smaller than the sum of its proper divisors (460760448).

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

190947840 is an equidigital number, since it uses as much as digits as its factorization.

190947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 190947840 is about 13818.3877496617. The cubic root of 190947840 is about 575.8440936070.

The spelling of 190947840 in words is "one hundred ninety million, nine hundred forty-seven thousand, eight hundred forty".