190956416 has 64 divisors (see below), whose sum is σ = 449820000. Its totient is φ = 79005696.

The previous prime is 190956379. The next prime is 190956433. The reversal of 190956416 is 614659091.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×190956416³ (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22310 + ... + 29658.

Almost surely, 2^190956416 is an apocalyptic number.

190956416 is a gapful number since it is divisible by the number (16) 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 190956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224910000).

190956416 is an abundant number, since it is smaller than the sum of its proper divisors (258863584).

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

190956416 is an equidigital number, since it uses as much as digits as its factorization.

190956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 190956416 is about 13818.6980573424. The cubic root of 190956416 is about 575.8527143993.

The spelling of 190956416 in words is "one hundred ninety million, nine hundred fifty-six thousand, four hundred sixteen".