40059600 has 240 divisors, whose sum is σ = 154990080. Its totient is φ = 8640000.

The previous prime is 40059587. The next prime is 40059631. The reversal of 40059600 is 695004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159475 + ... + 159725.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^40059600 is an apocalyptic number.

40059600 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 40059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

40059600 is an abundant number, since it is smaller than the sum of its proper divisors (114930480).

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

40059600 is a wasteful number, since it uses less digits than its factorization.

40059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40059600 is about 6329.2653602136. The cubic root of 40059600 is about 342.1649626532.

The spelling of 40059600 in words is "forty million, fifty-nine thousand, six hundred".