190707840 has 192 divisors, whose sum is σ = 666633240. Its totient is φ = 50233344.

The previous prime is 190707809. The next prime is 190707841. The reversal of 190707840 is 48707091.

190707840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 144576576 + 46131264 = 12024^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190707795 and 190707804.

It is not an unprimeable number, because it can be changed into a prime (190707841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650734 + ... + 651026.

Almost surely, 2^190707840 is an apocalyptic number.

190707840 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 190707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333316620).

190707840 is an abundant number, since it is smaller than the sum of its proper divisors (475925400).

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

190707840 is a wasteful number, since it uses less digits than its factorization.

190707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 190707840 is about 13809.7009381087. The cubic root of 190707840 is about 575.6027353306.

The spelling of 190707840 in words is "one hundred ninety million, seven hundred seven thousand, eight hundred forty".