1012635600 has 120 divisors (see below), whose sum is σ = 3434690880. Its totient is φ = 254146560.

The previous prime is 1012635599. The next prime is 1012635629. The reversal of 1012635600 is 65362101.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4420 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (28622424).

Almost surely, 2^1012635600 is an apocalyptic number.

1012635600 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 1012635600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717345440).

1012635600 is an abundant number, since it is smaller than the sum of its proper divisors (2422055280).

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

1012635600 is a wasteful number, since it uses less digits than its factorization.

1012635600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49677 (or 49666 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1012635600 is about 31821.9358304928. The cubic root of 1012635600 is about 1004.1942503361.

Adding to 1012635600 its reverse (65362101), we get a palindrome (1077997701).

The spelling of 1012635600 in words is "one billion, twelve million, six hundred thirty-five thousand, six hundred".