30858240 has 264 divisors, whose sum is σ = 117612432. Its totient is φ = 6881280.

The previous prime is 30858211. The next prime is 30858241. The reversal of 30858240 is 4285803.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30858198 and 30858207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30858241) 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 23 ways as a sum of consecutive naturals, for example, 752620 + ... + 752660.

Almost surely, 2^30858240 is an apocalyptic number.

30858240 is a gapful number since it is divisible by the number (30) 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 30858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

30858240 is an abundant number, since it is smaller than the sum of its proper divisors (86754192).

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

30858240 is a wasteful number, since it uses less digits than its factorization.

30858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 30858240 is about 5555.0193519015. The cubic root of 30858240 is about 313.6584924907.

It can be divided in two parts, 3085 and 8240, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 30858240 in words is "thirty million, eight hundred fifty-eight thousand, two hundred forty".