1161772016 has 40 divisors (see below), whose sum is σ = 2340921600. Its totient is φ = 557876480.

The previous prime is 1161772013. The next prime is 1161772019. The reversal of 1161772016 is 6102771611.

It is an interprime number because it is at equal distance from previous prime (1161772013) and next prime (1161772019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161772013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82070 + ... + 95178.

It is an arithmetic number, because the mean of its divisors is an integer number (58523040).

Almost surely, 2^1161772016 is an apocalyptic number.

1161772016 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 1161772016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170460800).

1161772016 is an abundant number, since it is smaller than the sum of its proper divisors (1179149584).

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

1161772016 is a wasteful number, since it uses less digits than its factorization.

1161772016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13337 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 1161772016 is about 34084.7768952651. The cubic root of 1161772016 is about 1051.2523276836.

The spelling of 1161772016 in words is "one billion, one hundred sixty-one million, seven hundred seventy-two thousand, sixteen".