160406740 has 72 divisors (see below), whose sum is σ = 383087880. Its totient is φ = 56077056.

The previous prime is 160406731. The next prime is 160406767. The reversal of 160406740 is 47604061.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 160123716 = 532^2 + 12654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 160406699 and 160406708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93006 + ... + 94714.

It is an arithmetic number, because the mean of its divisors is an integer number (5320665).

Almost surely, 2^160406740 is an apocalyptic number.

160406740 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 160406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191543940).

160406740 is an abundant number, since it is smaller than the sum of its proper divisors (222681140).

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

160406740 is a wasteful number, since it uses less digits than its factorization.

160406740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 160406740 is about 12665.1782458835. The cubic root of 160406740 is about 543.3431599797.

The spelling of 160406740 in words is "one hundred sixty million, four hundred six thousand, seven hundred forty".