30735940 has 48 divisors (see below), whose sum is σ = 67359600. Its totient is φ = 11766272.

The previous prime is 30735931. The next prime is 30735961. The reversal of 30735940 is 4953703.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 30735936 = 2^2 + 5544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114126 + ... + 114394.

It is an arithmetic number, because the mean of its divisors is an integer number (1403325).

Almost surely, 2^30735940 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 30735940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33679800).

30735940 is an abundant number, since it is smaller than the sum of its proper divisors (36623660).

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

30735940 is a wasteful number, since it uses less digits than its factorization.

30735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 30735940 is about 5544.0003607503. Note that the first 3 decimals coincide. The cubic root of 30735940 is about 313.2435711894.

The spelling of 30735940 in words is "thirty million, seven hundred thirty-five thousand, nine hundred forty".