190267920 has 160 divisors (see below), whose sum is σ = 666921600. Its totient is φ = 49844736.

The previous prime is 190267879. The next prime is 190267939. The reversal of 190267920 is 29762091.

It is a super-2 number, since 2×190267920² = 72403762762252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126694 + ... + 128186.

It is an arithmetic number, because the mean of its divisors is an integer number (4168260).

Almost surely, 2^190267920 is an apocalyptic number.

190267920 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 190267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333460800).

190267920 is an abundant number, since it is smaller than the sum of its proper divisors (476653680).

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

190267920 is a wasteful number, since it uses less digits than its factorization.

190267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 190267920 is about 13793.7638083302. The cubic root of 190267920 is about 575.1597993161.

The spelling of 190267920 in words is "one hundred ninety million, two hundred sixty-seven thousand, nine hundred twenty".