190312416 has 240 divisors, whose sum is σ = 678386016. Its totient is φ = 51093504.

The previous prime is 190312403. The next prime is 190312429. The reversal of 190312416 is 614213091.

It is an interprime number because it is at equal distance from previous prime (190312403) and next prime (190312429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 190312416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308140 + ... + 308756.

Almost surely, 2^190312416 is an apocalyptic number.

190312416 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 190312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339193008).

190312416 is an abundant number, since it is smaller than the sum of its proper divisors (488073600).

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

190312416 is a wasteful number, since it uses less digits than its factorization.

190312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 190312416 is about 13795.3766168235. The cubic root of 190312416 is about 575.2046313888.

The spelling of 190312416 in words is "one hundred ninety million, three hundred twelve thousand, four hundred sixteen".