161238600 has 240 divisors, whose sum is σ = 577278900. Its totient is φ = 41679360.

The previous prime is 161238509. The next prime is 161238607. The reversal of 161238600 is 6832161.

161238600 is a `hidden beast` number, since 16 + 12 + 38 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52620516 + 108618084 = 7254^2 + 10422^2 .

It is a super-2 number, since 2×161238600² = 51995772259920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161238607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 599266 + ... + 599534.

Almost surely, 2^161238600 is an apocalyptic number.

161238600 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 161238600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288639450).

161238600 is an abundant number, since it is smaller than the sum of its proper divisors (416040300).

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

161238600 is a wasteful number, since it uses less digits than its factorization.

161238600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161238600 is about 12697.9762167048. The cubic root of 161238600 is about 544.2807896599.

The spelling of 161238600 in words is "one hundred sixty-one million, two hundred thirty-eight thousand, six hundred".