1006138560 has 336 divisors, whose sum is σ = 3779800416. Its totient is φ = 226050048.

The previous prime is 1006138517. The next prime is 1006138571. The reversal of 1006138560 is 658316001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433774 + ... + 3434066.

It is an arithmetic number, because the mean of its divisors is an integer number (11249406).

Almost surely, 2^1006138560 is an apocalyptic number.

1006138560 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 1006138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889900208).

1006138560 is an abundant number, since it is smaller than the sum of its proper divisors (2773661856).

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

1006138560 is a wasteful number, since it uses less digits than its factorization.

1006138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1006138560 is about 31719.6872620144. The cubic root of 1006138560 is about 1002.0420140072.

The spelling of 1006138560 in words is "one billion, six million, one hundred thirty-eight thousand, five hundred sixty".