40161680 has 120 divisors (see below), whose sum is σ = 106560888. Its totient is φ = 13989888.

The previous prime is 40161677. The next prime is 40161683. The reversal of 40161680 is 8616104.

It is an interprime number because it is at equal distance from previous prime (40161677) and next prime (40161683).

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 39137536 = 1012^2 + 6256^2 .

It is a super-2 number, since 2×40161680² = 3225921080844800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (40161683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550124 + ... + 550196.

Almost surely, 2^40161680 is an apocalyptic number.

40161680 is a gapful number since it is divisible by the number (40) 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 40161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280444).

40161680 is an abundant number, since it is smaller than the sum of its proper divisors (66399208).

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

40161680 is a wasteful number, since it uses less digits than its factorization.

40161680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 40161680 is about 6337.3243565404. The cubic root of 40161680 is about 342.4553514178.

Adding to 40161680 its reverse (8616104), we get a palindrome (48777784).

The spelling of 40161680 in words is "forty million, one hundred sixty-one thousand, six hundred eighty".