30540768 has 48 divisors (see below), whose sum is σ = 81204480. Its totient is φ = 10048896.

The previous prime is 30540749. The next prime is 30540817. The reversal of 30540768 is 86704503.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5571 + ... + 9597.

It is an arithmetic number, because the mean of its divisors is an integer number (1691760).

Almost surely, 2^30540768 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 30540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40602240).

30540768 is an abundant number, since it is smaller than the sum of its proper divisors (50663712).

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

30540768 is a wasteful number, since it uses less digits than its factorization.

30540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 30540768 is about 5526.3702373258. The cubic root of 30540768 is about 312.5791347323.

The spelling of 30540768 in words is "thirty million, five hundred forty thousand, seven hundred sixty-eight".