40794960 has 160 divisors (see below), whose sum is σ = 133562880. Its totient is φ = 10289664.

The previous prime is 40794947. The next prime is 40794961. The reversal of 40794960 is 6949704.

It is a super-2 number, since 2×40794960² = 3328457522803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40794961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608847 + ... + 608913.

It is an arithmetic number, because the mean of its divisors is an integer number (834768).

Almost surely, 2^40794960 is an apocalyptic number.

40794960 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 40794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

40794960 is an abundant number, since it is smaller than the sum of its proper divisors (92767920).

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

40794960 is a wasteful number, since it uses less digits than its factorization.

40794960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 40794960 is about 6387.0932355806. The cubic root of 40794960 is about 344.2459481447.

The spelling of 40794960 in words is "forty million, seven hundred ninety-four thousand, nine hundred sixty".