1193956920 has 384 divisors, whose sum is σ = 4540536000. Its totient is φ = 269402112.

The previous prime is 1193956919. The next prime is 1193956921. The reversal of 1193956920 is 296593911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1193956919) and next prime (1193956921).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193956921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3420906 + ... + 3421254.

Almost surely, 2^1193956920 is an apocalyptic number.

1193956920 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 1193956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270268000).

1193956920 is an abundant number, since it is smaller than the sum of its proper divisors (3346579080).

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

1193956920 is a wasteful number, since it uses less digits than its factorization.

1193956920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1193956920 is about 34553.6817141097. The cubic root of 1193956920 is about 1060.8717523110.

The spelling of 1193956920 in words is "one billion, one hundred ninety-three million, nine hundred fifty-six thousand, nine hundred twenty".