1006467840 has 324 divisors, whose sum is σ = 4053080304. Its totient is φ = 229920768.

The previous prime is 1006467817. The next prime is 1006467851. The reversal of 1006467840 is 487646001.

1006467840 is a `hidden beast` number, since 1 + 0 + 0 + 646 + 7 + 8 + 4 + 0 = 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 a junction number, because it is equal to n+sod(n) for n = 1006467795 and 1006467804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563589 + ... + 565371.

Almost surely, 2^1006467840 is an apocalyptic number.

1006467840 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 1006467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026540152).

1006467840 is an abundant number, since it is smaller than the sum of its proper divisors (3046612464).

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

1006467840 is a wasteful number, since it uses less digits than its factorization.

1006467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1006467840 is about 31724.8773047273. The cubic root of 1006467840 is about 1002.1513151907.

The spelling of 1006467840 in words is "one billion, six million, four hundred sixty-seven thousand, eight hundred forty".