161683600 has 240 divisors, whose sum is σ = 464970240. Its totient is φ = 53452800.

The previous prime is 161683589. The next prime is 161683607. The reversal of 161683600 is 6386161.

It is a super-2 number, since 2×161683600² = 52283173017920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (161683607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2740371 + ... + 2740429.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^161683600 is an apocalyptic number.

161683600 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 161683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

161683600 is an abundant number, since it is smaller than the sum of its proper divisors (303286640).

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

161683600 is a wasteful number, since it uses less digits than its factorization.

161683600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 161683600 is about 12715.4866206528. The cubic root of 161683600 is about 544.7810471936.

The spelling of 161683600 in words is "one hundred sixty-one million, six hundred eighty-three thousand, six hundred".