168977952 has 216 divisors, whose sum is σ = 570341772. Its totient is φ = 47139840.

The previous prime is 168977951. The next prime is 168977959. The reversal of 168977952 is 259779861.

It can be written as a sum of positive squares in 2 ways, for example, as 163942416 + 5035536 = 12804^2 + 2244^2 .

It is a super-2 number, since 2×168977952² = 57107096524228608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168977951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452838 + ... + 453210.

Almost surely, 2^168977952 is an apocalyptic number.

168977952 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 168977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285170886).

168977952 is an abundant number, since it is smaller than the sum of its proper divisors (401363820).

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

168977952 is a wasteful number, since it uses less digits than its factorization.

168977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 168977952 is about 12999.1519723403. The cubic root of 168977952 is about 552.8534372400.

The spelling of 168977952 in words is "one hundred sixty-eight million, nine hundred seventy-seven thousand, nine hundred fifty-two".