1206292416 has 112 divisors (see below), whose sum is σ = 3732605184. Its totient is φ = 336623616.

The previous prime is 1206292411. The next prime is 1206292441. The reversal of 1206292416 is 6142926021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206292411) 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, 47356 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (33326832).

Almost surely, 2^1206292416 is an apocalyptic number.

1206292416 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 1206292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866302592).

1206292416 is an abundant number, since it is smaller than the sum of its proper divisors (2526312768).

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

1206292416 is a wasteful number, since it uses less digits than its factorization.

1206292416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20938 (or 20928 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1206292416 is about 34731.7206023543. The cubic root of 1206292416 is about 1064.5127458748.

The spelling of 1206292416 in words is "one billion, two hundred six million, two hundred ninety-two thousand, four hundred sixteen".