1180416 has 72 divisors (see below), whose sum is σ = 3311280. Its totient is φ = 372736.

The previous prime is 1180409. The next prime is 1180423. The reversal of 1180416 is 6140811.

1180416 = T₁₈₄ + T₁₈₅ + ... + T₂₃₆.

1180416 is a nontrivial binomial coefficient, being equal to C(1537, 2).

It is an interprime number because it is at equal distance from previous prime (1180409) and next prime (1180423).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1180392 and 1180401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22246 + ... + 22298.

It is an arithmetic number, because the mean of its divisors is an integer number (45990).

2^1180416 is an apocalyptic number.

1180416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1180416 is the 1536-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655640).

1180416 is an abundant number, since it is smaller than the sum of its proper divisors (2130864).

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

1180416 is an equidigital number, since it uses as much as digits as its factorization.

1180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1180416 is about 1086.4695117674. The cubic root of 1180416 is about 105.6845970406.

It can be divided in two parts, 1180 and 416, that added together give a triangular number (1596 = T₅₆).

The spelling of 1180416 in words is "one million, one hundred eighty thousand, four hundred sixteen".