1233623640 has 96 divisors (see below), whose sum is σ = 3906042480. Its totient is φ = 311641344.

The previous prime is 1233623591. The next prime is 1233623647. The reversal of 1233623640 is 463263321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1233623598 and 1233623607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233623647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29082 + ... + 57558.

Almost surely, 2^1233623640 is an apocalyptic number.

1233623640 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 1233623640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953021240).

1233623640 is an abundant number, since it is smaller than the sum of its proper divisors (2672418840).

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

1233623640 is a wasteful number, since it uses less digits than its factorization.

1233623640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28506 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 1233623640 is about 35122.9788030571. The cubic root of 1233623640 is about 1072.4924108765.

Adding to 1233623640 its reverse (463263321), we get a palindrome (1696886961).

The spelling of 1233623640 in words is "one billion, two hundred thirty-three million, six hundred twenty-three thousand, six hundred forty".