30920960 has 216 divisors, whose sum is σ = 94371480. Its totient is φ = 9633792.

The previous prime is 30920951. The next prime is 30920983. The reversal of 30920960 is 6902903.

It can be written as a sum of positive squares in 4 ways, for example, as 6635776 + 24285184 = 2576^2 + 4928^2 .

It is a super-2 number, since 2×30920960² = 1912211534643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 23 ways as a sum of consecutive naturals, for example, 1066226 + ... + 1066254.

It is an arithmetic number, because the mean of its divisors is an integer number (436905).

Almost surely, 2^30920960 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 30920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47185740).

30920960 is an abundant number, since it is smaller than the sum of its proper divisors (63450520).

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

30920960 is a wasteful number, since it uses less digits than its factorization.

30920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 30920960 is about 5560.6618311133. The cubic root of 30920960 is about 313.8708544327.

The spelling of 30920960 in words is "thirty million, nine hundred twenty thousand, nine hundred sixty".