1012278960 has 720 divisors, whose sum is σ = 4610062080. Its totient is φ = 192844800.

The previous prime is 1012278931. The next prime is 1012278977. The reversal of 1012278960 is 698722101.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32654145 + ... + 32654175.

It is an arithmetic number, because the mean of its divisors is an integer number (6402864).

Almost surely, 2^1012278960 is an apocalyptic number.

1012278960 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 1012278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305031040).

1012278960 is an abundant number, since it is smaller than the sum of its proper divisors (3597783120).

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

1012278960 is a wasteful number, since it uses less digits than its factorization.

1012278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1012278960 is about 31816.3316552993. The cubic root of 1012278960 is about 1004.0763474795.

It can be divided in two parts, 1012 and 278960, that added together give a palindrome (279972).

The spelling of 1012278960 in words is "one billion, twelve million, two hundred seventy-eight thousand, nine hundred sixty".