1183400064 has 256 divisors, whose sum is σ = 4355481600. Its totient is φ = 307307520.

The previous prime is 1183400003. The next prime is 1183400069. The reversal of 1183400064 is 4600043811.

It is a super-2 number, since 2×1183400064² = 2800871422950408192, which contains 22 as substring.

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 (1183400069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263889 + ... + 268335.

It is an arithmetic number, because the mean of its divisors is an integer number (17013600).

Almost surely, 2^1183400064 is an apocalyptic number.

1183400064 is a gapful number since it is divisible by the number (14) 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 1183400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177740800).

1183400064 is an abundant number, since it is smaller than the sum of its proper divisors (3172081536).

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

1183400064 is a wasteful number, since it uses less digits than its factorization.

1183400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1183400064 is about 34400.5823206527. The cubic root of 1183400064 is about 1057.7357816395.

Adding to 1183400064 its reverse (4600043811), we get a palindrome (5783443875).

The spelling of 1183400064 in words is "one billion, one hundred eighty-three million, four hundred thousand, sixty-four".