161628480 has 224 divisors, whose sum is σ = 614476800. Its totient is φ = 39757824.

The previous prime is 161628479. The next prime is 161628557. The reversal of 161628480 is 84826161.

161628480 is a `hidden beast` number, since 16 + 162 + 8 + 480 = 666.

It is a super-2 number, since 2×161628480² = 52247531094220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111601 + ... + 113039.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^161628480 is an apocalyptic number.

161628480 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 161628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

161628480 is an abundant number, since it is smaller than the sum of its proper divisors (452848320).

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

161628480 is a wasteful number, since it uses less digits than its factorization.

161628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 161628480 is about 12713.3190001667. The cubic root of 161628480 is about 544.7191325564.

It can be divided in two parts, 16162 and 8480, that added together give a palindrome (24642).

The spelling of 161628480 in words is "one hundred sixty-one million, six hundred twenty-eight thousand, four hundred eighty".