30959040 has 224 divisors, whose sum is σ = 119384064. Its totient is φ = 6635520.

The previous prime is 30959021. The next prime is 30959063. The reversal of 30959040 is 4095903.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 30958989 and 30959007.

It is a congruent number.

It is an unprimeable number.

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, 114105 + ... + 114375.

Almost surely, 2^30959040 is an apocalyptic number.

30959040 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 30959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59692032).

30959040 is an abundant number, since it is smaller than the sum of its proper divisors (88425024).

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

30959040 is a wasteful number, since it uses less digits than its factorization.

30959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 30959040 is about 5564.0848304101. The cubic root of 30959040 is about 313.9996483964. Note that the first 3 decimals are identical.

The spelling of 30959040 in words is "thirty million, nine hundred fifty-nine thousand, forty".