1200536640 has 168 divisors, whose sum is σ = 4282561920. Its totient is φ = 320122368.

The previous prime is 1200536633. The next prime is 1200536647. The reversal of 1200536640 is 466350021.

1200536640 is a `hidden beast` number, since 12 + 0 + 0 + 5 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1200536633) and next prime (1200536647).

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 (1200536647) 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, 70041 + ... + 85479.

It is an arithmetic number, because the mean of its divisors is an integer number (25491440).

Almost surely, 2^1200536640 is an apocalyptic number.

1200536640 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 1200536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141280960).

1200536640 is an abundant number, since it is smaller than the sum of its proper divisors (3082025280).

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

1200536640 is an equidigital number, since it uses as much as digits as its factorization.

1200536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15471 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1200536640 is about 34648.7610168098. The cubic root of 1200536640 is about 1062.8169525460.

Adding to 1200536640 its reverse (466350021), we get a palindrome (1666886661).

The spelling of 1200536640 in words is "one billion, two hundred million, five hundred thirty-six thousand, six hundred forty".