724615164 has 144 divisors (see below), whose sum is σ = 2264213952. Its totient is φ = 190273536.

The previous prime is 724615159. The next prime is 724615169. The reversal of 724615164 is 461516427.

724615164 is a `hidden beast` number, since 7 + 24 + 615 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (724615159) and next prime (724615169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724615169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221652 + ... + 1222244.

It is an arithmetic number, because the mean of its divisors is an integer number (15723708).

Almost surely, 2^724615164 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 724615164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132106976).

724615164 is an abundant number, since it is smaller than the sum of its proper divisors (1539598788).

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

724615164 is a wasteful number, since it uses less digits than its factorization.

724615164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 991 counting only the distinct ones).

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

The square root of 724615164 is about 26918.6768619856. The cubic root of 724615164 is about 898.1919107435.

The spelling of 724615164 in words is "seven hundred twenty-four million, six hundred fifteen thousand, one hundred sixty-four".