1012364960 has 96 divisors (see below), whose sum is σ = 2586608640. Its totient is φ = 372969472.

The previous prime is 1012364959. The next prime is 1012364993. The reversal of 1012364960 is 694632101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123881 + ... + 131799.

It is an arithmetic number, because the mean of its divisors is an integer number (26943840).

Almost surely, 2^1012364960 is an apocalyptic number.

1012364960 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 1012364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293304320).

1012364960 is an abundant number, since it is smaller than the sum of its proper divisors (1574243680).

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

1012364960 is a wasteful number, since it uses less digits than its factorization.

1012364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1012364960 is about 31817.6831337544. The cubic root of 1012364960 is about 1004.1047810517.

The spelling of 1012364960 in words is "one billion, twelve million, three hundred sixty-four thousand, nine hundred sixty".