1006995456 has 96 divisors (see below), whose sum is σ = 2983125600. Its totient is φ = 335646720.

The previous prime is 1006995403. The next prime is 1006995523. The reversal of 1006995456 is 6545996001.

It is a happy number.

1006995456 is a `hidden beast` number, since 10 + 0 + 6 + 99 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46191 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (31074225).

Almost surely, 2^1006995456 is an apocalyptic number.

1006995456 is a gapful number since it is divisible by the number (16) 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 1006995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491562800).

1006995456 is an abundant number, since it is smaller than the sum of its proper divisors (1976130144).

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

1006995456 is an equidigital number, since it uses as much as digits as its factorization.

1006995456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242 (or 18216 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1006995456 is about 31733.1917083674. The cubic root of 1006995456 is about 1002.3264023220.

The spelling of 1006995456 in words is "one billion, six million, nine hundred ninety-five thousand, four hundred fifty-six".