1142632064 has 64 divisors (see below), whose sum is σ = 2628548160. Its totient is φ = 484614144.

The previous prime is 1142631983. The next prime is 1142632091. The reversal of 1142632064 is 4602362411.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80339 + ... + 93485.

It is an arithmetic number, because the mean of its divisors is an integer number (41071065).

Almost surely, 2^1142632064 is an apocalyptic number.

1142632064 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 1142632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314274080).

1142632064 is an abundant number, since it is smaller than the sum of its proper divisors (1485916096).

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

1142632064 is an equidigital number, since it uses as much as digits as its factorization.

1142632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1142632064 is about 33802.8410640289. The cubic root of 1142632064 is about 1045.4472766142.

Adding to 1142632064 its reverse (4602362411), we get a palindrome (5744994475).

The spelling of 1142632064 in words is "one billion, one hundred forty-two million, six hundred thirty-two thousand, sixty-four".