1506681 has 40 divisors (see below), whose sum is σ = 2613600. Its totient is φ = 855360.

The previous prime is 1506653. The next prime is 1506689. The reversal of 1506681 is 1866051.

It is not a de Polignac number, because 1506681 - 2⁵ = 1506649 is a prime.

It is a super-2 number, since 2×1506681² = 4540175271522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

1506681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1506689) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16885 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (65340).

2^1506681 is an apocalyptic number.

1506681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1506681 is a deficient number, since it is larger than the sum of its proper divisors (1106919).

1506681 is a wasteful number, since it uses less digits than its factorization.

1506681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1506681 is about 1227.4693478861. The cubic root of 1506681 is about 114.6411244638.

It can be divided in two parts, 1506 and 681, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1506681 in words is "one million, five hundred six thousand, six hundred eighty-one".