190540416 has 128 divisors (see below), whose sum is σ = 560102400. Its totient is φ = 56908800.

The previous prime is 190540409. The next prime is 190540423. The reversal of 190540416 is 614045091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (190540409) and next prime (190540423).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333411 + ... + 333981.

It is an arithmetic number, because the mean of its divisors is an integer number (4375800).

Almost surely, 2^190540416 is an apocalyptic number.

190540416 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 190540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280051200).

190540416 is an abundant number, since it is smaller than the sum of its proper divisors (369561984).

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

190540416 is a wasteful number, since it uses less digits than its factorization.

190540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 190540416 is about 13803.6377813966. The cubic root of 190540416 is about 575.4342438702.

The spelling of 190540416 in words is "one hundred ninety million, five hundred forty thousand, four hundred sixteen".