161416640 has 112 divisors (see below), whose sum is σ = 479291904. Its totient is φ = 50304000.

The previous prime is 161416621. The next prime is 161416667. The reversal of 161416640 is 46614161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21365 + ... + 27915.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^161416640 is an apocalyptic number.

161416640 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 161416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

161416640 is an abundant number, since it is smaller than the sum of its proper divisors (317875264).

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

161416640 is a wasteful number, since it uses less digits than its factorization.

161416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 161416640 is about 12704.9848484758. The cubic root of 161416640 is about 544.4810479656.

The spelling of 161416640 in words is "one hundred sixty-one million, four hundred sixteen thousand, six hundred forty".