162553664 has 168 divisors, whose sum is σ = 423915840. Its totient is φ = 60383232.

The previous prime is 162553663. The next prime is 162553669. The reversal of 162553664 is 466355261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162553661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438472 + ... + 1438584.

Almost surely, 2^162553664 is an apocalyptic number.

162553664 is a gapful number since it is divisible by the number (14) 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 162553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211957920).

162553664 is an abundant number, since it is smaller than the sum of its proper divisors (261362176).

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

162553664 is a wasteful number, since it uses less digits than its factorization.

162553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 162553664 is about 12749.6534854874. The cubic root of 162553664 is about 545.7565051835.

The spelling of 162553664 in words is "one hundred sixty-two million, five hundred fifty-three thousand, six hundred sixty-four".