1067661 has 30 divisors (see below), whose sum is σ = 1862190. Its totient is φ = 607824.

The previous prime is 1067653. The next prime is 1067669. The reversal of 1067661 is 1667601.

1067661 = 45³ + 46³ + ... + 53³.

It is an interprime number because it is at equal distance from previous prime (1067653) and next prime (1067669).

It can be written as a sum of positive squares in only one way, i.e., 670761 + 396900 = 819^2 + 630^2 .

It is not a de Polignac number, because 1067661 - 2³ = 1067653 is a prime.

It is a super-2 number, since 2×1067661² = 2279800021842, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

1067661 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067669) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3835 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (62073).

2^1067661 is an apocalyptic number.

It is an amenable number.

1067661 is a deficient number, since it is larger than the sum of its proper divisors (794529).

1067661 is an equidigital number, since it uses as much as digits as its factorization.

1067661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1067661 is about 1033.2768264120. The cubic root of 1067661 is about 102.2063297512.

It can be divided in two parts, 1067 and 661, that added together give a cube (1728 = 12³).

The spelling of 1067661 in words is "one million, sixty-seven thousand, six hundred sixty-one".