161460000 has 480 divisors, whose sum is σ = 661288320. Its totient is φ = 38016000.

The previous prime is 161459959. The next prime is 161460001. The reversal of 161460000 is 64161.

161460000 is a `hidden beast` number, since 1 + 61 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161460001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7019989 + ... + 7020011.

It is an arithmetic number, because the mean of its divisors is an integer number (1377684).

Almost surely, 2^161460000 is an apocalyptic number.

161460000 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 161460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330644160).

161460000 is an abundant number, since it is smaller than the sum of its proper divisors (499828320).

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

161460000 is a wasteful number, since it uses less digits than its factorization.

161460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161460000 is about 12706.6911507284. The cubic root of 161460000 is about 544.5297967287.

The spelling of 161460000 in words is "one hundred sixty-one million, four hundred sixty thousand".