1006972560 has 480 divisors, whose sum is σ = 4065489792. Its totient is φ = 228925440.

The previous prime is 1006972523. The next prime is 1006972579. The reversal of 1006972560 is 652796001.

1006972560 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 97 + 2 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3635142 + ... + 3635418.

Almost surely, 2^1006972560 is an apocalyptic number.

1006972560 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 1006972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032744896).

1006972560 is an abundant number, since it is smaller than the sum of its proper divisors (3058517232).

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

1006972560 is a wasteful number, since it uses less digits than its factorization.

1006972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1006972560 is about 31732.8309484042. The cubic root of 1006972560 is about 1002.3188056511.

1006972560 divided by its sum of digits (36) gives a triangular number (27971460 = T₇₄₇₉).

The spelling of 1006972560 in words is "one billion, six million, nine hundred seventy-two thousand, five hundred sixty".