190540800 has 198 divisors, whose sum is σ = 683051148. Its totient is φ = 50749440.

The previous prime is 190540799. The next prime is 190540813. The reversal of 190540800 is 8045091.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229987 + ... + 230813.

Almost surely, 2^190540800 is an apocalyptic number.

190540800 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 190540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341525574).

190540800 is an abundant number, since it is smaller than the sum of its proper divisors (492510348).

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

190540800 is a wasteful number, since it uses less digits than its factorization.

190540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 190540800 is about 13803.6516907665. The cubic root of 190540800 is about 575.4346304314.

Adding to 190540800 its reverse (8045091), we get a palindrome (198585891).

The spelling of 190540800 in words is "one hundred ninety million, five hundred forty thousand, eight hundred".