615264 has 96 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 172032.

The previous prime is 615259. The next prime is 615269. The reversal of 615264 is 462516.

It is an interprime number because it is at equal distance from previous prime (615259) and next prime (615269).

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (1440) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (615269) by changing a digit.

615264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21202 + ... + 21230.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2⁶¹⁵²⁶⁴ 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 615264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

615264 is an abundant number, since it is smaller than the sum of its proper divisors (1289856).

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

615264 is a wasteful number, since it uses less digits than its factorization.

615264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 615264 is about 784.3876592604. The cubic root of 615264 is about 85.0525165660.

It can be divided in two parts, 6152 and 64, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 615264 in words is "six hundred fifteen thousand, two hundred sixty-four".