1161867840 has 224 divisors, whose sum is σ = 4319771904. Its totient is φ = 259031040.

The previous prime is 1161867809. The next prime is 1161867851. The reversal of 1161867840 is 487681611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1161867792 and 1161867801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273412 + ... + 277628.

It is an arithmetic number, because the mean of its divisors is an integer number (19284696).

Almost surely, 2^1161867840 is an apocalyptic number.

1161867840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1161867840 is the 19680-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159885952).

1161867840 is an abundant number, since it is smaller than the sum of its proper divisors (3157904064).

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

1161867840 is a wasteful number, since it uses less digits than its factorization.

1161867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1161867840 is about 34086.1825377967. The cubic root of 1161867840 is about 1051.2812296345.

The spelling of 1161867840 in words is "one billion, one hundred sixty-one million, eight hundred sixty-seven thousand, eight hundred forty".