161658672 has 160 divisors (see below), whose sum is σ = 498634752. Its totient is φ = 44174592.

The previous prime is 161658649. The next prime is 161658691. The reversal of 161658672 is 276856161.

It is a super-2 number, since 2×161658672² = 52267052465607168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967933 + ... + 968099.

Almost surely, 2^161658672 is an apocalyptic number.

161658672 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 161658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249317376).

161658672 is an abundant number, since it is smaller than the sum of its proper divisors (336976080).

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

161658672 is a wasteful number, since it uses less digits than its factorization.

161658672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 161658672 is about 12714.5063608463. The cubic root of 161658672 is about 544.7530480646.

The spelling of 161658672 in words is "one hundred sixty-one million, six hundred fifty-eight thousand, six hundred seventy-two".