1005552960 has 224 divisors, whose sum is σ = 3478377600. Its totient is φ = 245145600.

The previous prime is 1005552949. The next prime is 1005552971. The reversal of 1005552960 is 692555001.

It is an interprime number because it is at equal distance from previous prime (1005552949) and next prime (1005552971).

It is a super-2 number, since 2×1005552960² = 2022273510729523200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528010 + ... + 529910.

Almost surely, 2^1005552960 is an apocalyptic number.

1005552960 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 1005552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739188800).

1005552960 is an abundant number, since it is smaller than the sum of its proper divisors (2472824640).

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

1005552960 is a wasteful number, since it uses less digits than its factorization.

1005552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 1005552960 is about 31710.4550582296. The cubic root of 1005552960 is about 1001.8475710457.

The spelling of 1005552960 in words is "one billion, five million, five hundred fifty-two thousand, nine hundred sixty".