164763720 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 37635840.

The previous prime is 164763719. The next prime is 164763721. The reversal of 164763720 is 27367461.

164763720 is a `hidden beast` number, since 1 + 647 + 6 + 3 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164763719) and next prime (164763721).

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 (164763721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2459127 + ... + 2459193.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^164763720 is an apocalyptic number.

164763720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

164763720 is an abundant number, since it is smaller than the sum of its proper divisors (476808120).

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

164763720 is a wasteful number, since it uses less digits than its factorization.

164763720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 164763720 is about 12836.0320971864. The cubic root of 164763720 is about 548.2187220746.

The spelling of 164763720 in words is "one hundred sixty-four million, seven hundred sixty-three thousand, seven hundred twenty".