1233014640 has 320 divisors, whose sum is σ = 4616704512. Its totient is φ = 268185600.

The previous prime is 1233014639. The next prime is 1233014647. The reversal of 1233014640 is 464103321.

1233014640 = T₄₀₈₁ + T₄₀₈₂ + ... + T₄₂₂₃.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1233014640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233014647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269355 + ... + 1270325.

Almost surely, 2^1233014640 is an apocalyptic number.

1233014640 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 1233014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308352256).

1233014640 is an abundant number, since it is smaller than the sum of its proper divisors (3383689872).

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

1233014640 is a wasteful number, since it uses less digits than its factorization.

1233014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1233014640 is about 35114.3081948086. The cubic root of 1233014640 is about 1072.3158969150.

Adding to 1233014640 its reverse (464103321), we get a palindrome (1697117961).

The spelling of 1233014640 in words is "one billion, two hundred thirty-three million, fourteen thousand, six hundred forty".