40193604 has 96 divisors (see below), whose sum is σ = 118702080. Its totient is φ = 11642400.

The previous prime is 40193603. The next prime is 40193611. The reversal of 40193604 is 40639104.

40193604 is a `hidden beast` number, since 40 + 19 + 3 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40193603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26589 + ... + 28059.

It is an arithmetic number, because the mean of its divisors is an integer number (1236480).

Almost surely, 2^40193604 is an apocalyptic number.

40193604 is a gapful number since it is divisible by the number (44) 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 40193604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59351040).

40193604 is an abundant number, since it is smaller than the sum of its proper divisors (78508476).

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

40193604 is a wasteful number, since it uses less digits than its factorization.

40193604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40193604 is about 6339.8425847966. The cubic root of 40193604 is about 342.5460651629.

The spelling of 40193604 in words is "forty million, one hundred ninety-three thousand, six hundred four".