40768160 has 48 divisors (see below), whose sum is σ = 97778016. Its totient is φ = 16059648.

The previous prime is 40768153. The next prime is 40768163. The reversal of 40768160 is 6186704.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40768163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8819 + ... + 12621.

It is an arithmetic number, because the mean of its divisors is an integer number (2037042).

Almost surely, 2^40768160 is an apocalyptic number.

40768160 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 40768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48889008).

40768160 is an abundant number, since it is smaller than the sum of its proper divisors (57009856).

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

40768160 is a wasteful number, since it uses less digits than its factorization.

40768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 40768160 is about 6384.9949099432. The cubic root of 40768160 is about 344.1705482062.

The spelling of 40768160 in words is "forty million, seven hundred sixty-eight thousand, one hundred sixty".