1173661920 has 384 divisors, whose sum is σ = 4402944000. Its totient is φ = 291133440.

The previous prime is 1173661919. The next prime is 1173661927. The reversal of 1173661920 is 291663711.

1173661920 is a `hidden beast` number, since 1 + 1 + 7 + 36 + 619 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1173661927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6484230 + ... + 6484410.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1173661920 is an apocalyptic number.

1173661920 is a gapful number since it is divisible by the number (10) 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 1173661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1173661920 is an abundant number, since it is smaller than the sum of its proper divisors (3229282080).

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

1173661920 is a wasteful number, since it uses less digits than its factorization.

1173661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1173661920 is about 34258.7495393513. The cubic root of 1173661920 is about 1054.8264338654.

The spelling of 1173661920 in words is "one billion, one hundred seventy-three million, six hundred sixty-one thousand, nine hundred twenty".