1005724960 has 48 divisors (see below), whose sum is σ = 2399132736. Its totient is φ = 398377728.

The previous prime is 1005724949. The next prime is 1005724963. The reversal of 1005724960 is 694275001.

It is a super-2 number, since 2×1005724960² = 2022965390334003200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005724963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14034 + ... + 46993.

It is an arithmetic number, because the mean of its divisors is an integer number (49981932).

Almost surely, 2^1005724960 is an apocalyptic number.

1005724960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005724960 is an abundant number, since it is smaller than the sum of its proper divisors (1393407776).

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

1005724960 is a wasteful number, since it uses less digits than its factorization.

1005724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61145 (or 61137 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1005724960 is about 31713.1669815552. The cubic root of 1005724960 is about 1001.9046898533.

Adding to 1005724960 its reverse (694275001), we get a palindrome (1699999961).

The spelling of 1005724960 in words is "one billion, five million, seven hundred twenty-four thousand, nine hundred sixty".