161335800 has 240 divisors, whose sum is σ = 586056240. Its totient is φ = 41057280.

The previous prime is 161335793. The next prime is 161335807. The reversal of 161335800 is 8533161.

It is an interprime number because it is at equal distance from previous prime (161335793) and next prime (161335807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161335807) 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, 372384 + ... + 372816.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^161335800 is an apocalyptic number.

161335800 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 161335800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293028120).

161335800 is an abundant number, since it is smaller than the sum of its proper divisors (424720440).

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

161335800 is a wasteful number, since it uses less digits than its factorization.

161335800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 161335800 is about 12701.8030216186. The cubic root of 161335800 is about 544.3901378878.

Adding to 161335800 its reverse (8533161), we get a palindrome (169868961).

The spelling of 161335800 in words is "one hundred sixty-one million, three hundred thirty-five thousand, eight hundred".