867654 has 48 divisors (see below), whose sum is σ = 2059200. Its totient is φ = 263088.

The previous prime is 867653. The next prime is 867677. The reversal of 867654 is 456768.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (40320) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867654.

It is not an unprimeable number, because it can be changed into a prime (867653) 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 23 ways as a sum of consecutive naturals, for example, 14677 + ... + 14735.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2⁸⁶⁷⁶⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029600).

867654 is an abundant number, since it is smaller than the sum of its proper divisors (1191546).

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

867654 is a wasteful number, since it uses less digits than its factorization.

867654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 867654 is about 931.4794683728. The cubic root of 867654 is about 95.3781419538.

It can be divided in two parts, 867 and 654, that added together give a square (1521 = 39²).

The spelling of 867654 in words is "eight hundred sixty-seven thousand, six hundred fifty-four".