611664 has 20 divisors (see below), whose sum is σ = 1580256. Its totient is φ = 203872.

The previous prime is 611657. The next prime is 611671. The reversal of 611664 is 466116.

It is an interprime number because it is at equal distance from previous prime (611657) and next prime (611671).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 4 and base 16.

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 611664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6324 + ... + 6419.

2⁶¹¹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

611664 is an abundant number, since it is smaller than the sum of its proper divisors (968592).

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

611664 is a wasteful number, since it uses less digits than its factorization.

611664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12754 (or 12748 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 611664 is about 782.0895089438. The cubic root of 611664 is about 84.8863070504.

It can be divided in two parts, 611 and 664, that added together give a triangular number (1275 = T₅₀).

The spelling of 611664 in words is "six hundred eleven thousand, six hundred sixty-four".