190003968 has 540 divisors, whose sum is σ = 761263272. Its totient is φ = 46448640.

The previous prime is 190003937. The next prime is 190003973. The reversal of 190003968 is 869300091.

It is a super-2 number, since 2×190003968² = 72203015711490048, 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11176696 + ... + 11176712.

Almost surely, 2^190003968 is an apocalyptic number.

190003968 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 190003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380631636).

190003968 is an abundant number, since it is smaller than the sum of its proper divisors (571259304).

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

190003968 is a wasteful number, since it uses less digits than its factorization.

190003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 190003968 is about 13784.1926858268. The cubic root of 190003968 is about 574.8937099059.

The spelling of 190003968 in words is "one hundred ninety million, three thousand, nine hundred sixty-eight".