1011487560 has 128 divisors (see below), whose sum is σ = 3207168000. Its totient is φ = 254681856.

The previous prime is 1011487559. The next prime is 1011487597. The reversal of 1011487560 is 657841101.

It is a happy 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, 215721 + ... + 220359.

It is an arithmetic number, because the mean of its divisors is an integer number (25056000).

Almost surely, 2^1011487560 is an apocalyptic number.

1011487560 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 1011487560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603584000).

1011487560 is an abundant number, since it is smaller than the sum of its proper divisors (2195680440).

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

1011487560 is a wasteful number, since it uses less digits than its factorization.

1011487560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1011487560 is about 31803.8922146331. The cubic root of 1011487560 is about 1003.8146168623.

The spelling of 1011487560 in words is "one billion, eleven million, four hundred eighty-seven thousand, five hundred sixty".