40600 has 48 divisors (see below), whose sum is σ = 111600. Its totient is φ = 13440.

The previous prime is 40597. The next prime is 40609. The reversal of 40600 is 604.

40600 = 18³ + 19³ + ... + 22³.

40600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

2⁴⁰⁶⁰⁰ is an apocalyptic number.

40600 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 40600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

40600 is an abundant number, since it is smaller than the sum of its proper divisors (71000).

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

40600 is a wasteful number, since it uses less digits than its factorization.

40600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40600 is about 201.4944167961. The cubic root of 40600 is about 34.3696685947.

The spelling of 40600 in words is "forty thousand, six hundred".