57603420 has 192 divisors, whose sum is σ = 209664000. Its totient is φ = 13124160.

The previous prime is 57603419. The next prime is 57603433. The reversal of 57603420 is 2430675.

It is a happy number.

57603420 is a `hidden beast` number, since 57 + 603 + 4 + 2 + 0 = 666.

It is a super-3 number, since 3×57603420³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185065 + ... + 185375.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^57603420 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 57603420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

57603420 is an abundant number, since it is smaller than the sum of its proper divisors (152060580).

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

57603420 is a wasteful number, since it uses less digits than its factorization.

57603420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57603420 is about 7589.6916933430. The cubic root of 57603420 is about 386.2033971486.

It can be divided in two parts, 5760 and 3420, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 57603420 in words is "fifty-seven million, six hundred three thousand, four hundred twenty".