191312940 has 192 divisors, whose sum is σ = 677827584. Its totient is φ = 39232512.

The previous prime is 191312909. The next prime is 191312963. The reversal of 191312940 is 49213191.

191312940 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×191312940² = 73201282022887200, which contains 22 as substring.

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 = 191312898 and 191312907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201547 + ... + 202493.

It is an arithmetic number, because the mean of its divisors is an integer number (3530352).

Almost surely, 2^191312940 is an apocalyptic number.

191312940 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 191312940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338913792).

191312940 is an abundant number, since it is smaller than the sum of its proper divisors (486514644).

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

191312940 is a wasteful number, since it uses less digits than its factorization.

191312940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 191312940 is about 13831.5920992487. The cubic root of 191312940 is about 576.2108723470.

The spelling of 191312940 in words is "one hundred ninety-one million, three hundred twelve thousand, nine hundred forty".