1006415 has 16 divisors (see below), whose sum is σ = 1284096. Its totient is φ = 756000.

The previous prime is 1006393. The next prime is 1006433. The reversal of 1006415 is 5146001.

It is a happy number.

It is not a de Polignac number, because 1006415 - 2⁶ = 1006351 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006393 and 1006402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6590 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (80256).

2^1006415 is an apocalyptic number.

1006415 is a deficient number, since it is larger than the sum of its proper divisors (277681).

1006415 is a wasteful number, since it uses less digits than its factorization.

1006415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1006415 is about 1003.2023724055. The cubic root of 1006415 is about 100.2133777090.

The spelling of 1006415 in words is "one million, six thousand, four hundred fifteen".