190921248 has 216 divisors, whose sum is σ = 643105008. Its totient is φ = 53561088.

The previous prime is 190921223. The next prime is 190921249. The reversal of 190921248 is 842129091.

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

It is not an unprimeable number, because it can be changed into a prime (190921249) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1171215 + ... + 1171377.

It is an arithmetic number, because the mean of its divisors is an integer number (2977338).

Almost surely, 2^190921248 is an apocalyptic number.

190921248 is a gapful number since it is divisible by the number (18) 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 190921248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321552504).

190921248 is an abundant number, since it is smaller than the sum of its proper divisors (452183760).

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

190921248 is a wasteful number, since it uses less digits than its factorization.

190921248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 190921248 is about 13817.4255199730. The cubic root of 190921248 is about 575.8173610762.

The spelling of 190921248 in words is "one hundred ninety million, nine hundred twenty-one thousand, two hundred forty-eight".