2936664 has 24 divisors (see below), whose sum is σ = 7953660. Its totient is φ = 978864.

The previous prime is 2936657. The next prime is 2936683. The reversal of 2936664 is 4666392.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20322 + ... + 20465.

2^2936664 is an apocalyptic number.

2936664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2936664 is an abundant number, since it is smaller than the sum of its proper divisors (5016996).

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

2936664 is a wasteful number, since it uses less digits than its factorization.

2936664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40799 (or 40792 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2936664 is about 1713.6697464798. The cubic root of 2936664 is about 143.2027703552.

It can be divided in two parts, 2936 and 664, that added together give a square (3600 = 60²).

The spelling of 2936664 in words is "two million, nine hundred thirty-six thousand, six hundred sixty-four".