1133740800 has 324 divisors, whose sum is σ = 4209270520. Its totient is φ = 302330880.

The previous prime is 1133740799. The next prime is 1133740801. The reversal of 1133740800 is 80473311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1133740799) and next prime (1133740801).

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1133740801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226748158 + ... + 226748162.

Almost surely, 2^1133740800 is an apocalyptic number.

1133740800 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 1133740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104635260).

1133740800 is an abundant number, since it is smaller than the sum of its proper divisors (3075529720).

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

1133740800 is an frugal number, since it uses more digits than its factorization.

1133740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1133740800 is about 33671.0676991390. The cubic root of 1133740800 is about 1042.7285353741.

Multiplying 1133740800 by its sum of digits (27), we get a square (30611001600 = 174960²).

1133740800 divided by its sum of digits (27) gives a square (41990400 = 6480²).

The spelling of 1133740800 in words is "one billion, one hundred thirty-three million, seven hundred forty thousand, eight hundred".