613764 has 24 divisors (see below), whose sum is σ = 1591520. Its totient is φ = 204552.

The previous prime is 613763. The next prime is 613807. The reversal of 613764 is 467316.

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).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 613764.

It is not an unprimeable number, because it can be changed into a prime (613763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2734 + ... + 2949.

2⁶¹³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

613764 is an abundant number, since it is smaller than the sum of its proper divisors (977756).

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

613764 is a wasteful number, since it uses less digits than its factorization.

613764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5688 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 613764 is about 783.4309159077. The cubic root of 613764 is about 84.9833416028.

The spelling of 613764 in words is "six hundred thirteen thousand, seven hundred sixty-four".