1185340416 has 176 divisors, whose sum is σ = 3460969344. Its totient is φ = 358465536.

The previous prime is 1185340393. The next prime is 1185340417. The reversal of 1185340416 is 6140435811.

It is a super-3 number, since 3×1185340416³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185340417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2675491 + ... + 2675933.

Almost surely, 2^1185340416 is an apocalyptic number.

1185340416 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 1185340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730484672).

1185340416 is an abundant number, since it is smaller than the sum of its proper divisors (2275628928).

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

1185340416 is a wasteful number, since it uses less digits than its factorization.

1185340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1185340416 is about 34428.7730829898. The cubic root of 1185340416 is about 1058.3135685041.

The spelling of 1185340416 in words is "one billion, one hundred eighty-five million, three hundred forty thousand, four hundred sixteen".