160553952 has 288 divisors, whose sum is σ = 540277920. Its totient is φ = 44789760.

The previous prime is 160553951. The next prime is 160553957. The reversal of 160553952 is 259355061.

160553952 is a `hidden beast` number, since 16 + 0 + 553 + 95 + 2 = 666.

160553952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160553951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632002 + ... + 2632062.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^160553952 is an apocalyptic number.

160553952 is a gapful number since it is divisible by the number (12) 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 160553952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

160553952 is an abundant number, since it is smaller than the sum of its proper divisors (379723968).

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

160553952 is a wasteful number, since it uses less digits than its factorization.

160553952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 160553952 is about 12670.9885960015. The cubic root of 160553952 is about 543.5093254345.

The spelling of 160553952 in words is "one hundred sixty million, five hundred fifty-three thousand, nine hundred fifty-two".