1531656 has 64 divisors (see below), whose sum is σ = 4867200. Its totient is φ = 437184.

The previous prime is 1531633. The next prime is 1531657. The reversal of 1531656 is 6561351.

It is a happy number.

1531656 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 656 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1531657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 2018.

It is an arithmetic number, because the mean of its divisors is an integer number (76050).

2^1531656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433600).

1531656 is an abundant number, since it is smaller than the sum of its proper divisors (3335544).

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

1531656 is a wasteful number, since it uses less digits than its factorization.

1531656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1531656 is about 1237.6009049770. The cubic root of 1531656 is about 115.2710932700.

It can be divided in two parts, 1531 and 656, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1531656 in words is "one million, five hundred thirty-one thousand, six hundred fifty-six".