190814520 has 144 divisors (see below), whose sum is σ = 626321160. Its totient is φ = 46485504.

The previous prime is 190814489. The next prime is 190814531. The reversal of 190814520 is 25418091.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1967112 + ... + 1967208.

Almost surely, 2^190814520 is an apocalyptic number.

190814520 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 190814520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313160580).

190814520 is an abundant number, since it is smaller than the sum of its proper divisors (435506640).

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

190814520 is a wasteful number, since it uses less digits than its factorization.

190814520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 190814520 is about 13813.5629002803. The cubic root of 190814520 is about 575.7100440696.

Multiplying 190814520 by its sum of digits (30), we get a square (5724435600 = 75660²).

190814520 divided by its sum of digits (30) gives a square (6360484 = 2522²).

The spelling of 190814520 in words is "one hundred ninety million, eight hundred fourteen thousand, five hundred twenty".