59855040 has 168 divisors, whose sum is σ = 235366560. Its totient is φ = 13676544.

The previous prime is 59855027. The next prime is 59855057. The reversal of 59855040 is 4055895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59854986 and 59855004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18676 + ... + 21644.

Almost surely, 2^59855040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117683280).

59855040 is an abundant number, since it is smaller than the sum of its proper divisors (175511520).

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

59855040 is a wasteful number, since it uses less digits than its factorization.

59855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 59855040 is about 7736.6039061076. The cubic root of 59855040 is about 391.1712325315.

Adding to 59855040 its product of nonzero digits (36000), we get a triangular number (59891040 = T₁₀₉₄₄).

It can be divided in two parts, 5985 and 5040, that added together give a square (11025 = 105²).

The spelling of 59855040 in words is "fifty-nine million, eight hundred fifty-five thousand, forty".