40645600 has 108 divisors (see below), whose sum is σ = 105790104. Its totient is φ = 15220480.

The previous prime is 40645567. The next prime is 40645609. The reversal of 40645600 is 654604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40645609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 864777 + ... + 864823.

It is an arithmetic number, because the mean of its divisors is an integer number (979538).

Almost surely, 2^40645600 is an apocalyptic number.

40645600 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 40645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52895052).

40645600 is an abundant number, since it is smaller than the sum of its proper divisors (65144504).

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

40645600 is a wasteful number, since it uses less digits than its factorization.

40645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 40645600 is about 6375.3901841378. The cubic root of 40645600 is about 343.8253124242.

The spelling of 40645600 in words is "forty million, six hundred forty-five thousand, six hundred".