30290560 has 128 divisors (see below), whose sum is σ = 79315200. Its totient is φ = 11022336.

The previous prime is 30290537. The next prime is 30290573. The reversal of 30290560 is 6509203.

30290560 = 517² + 518² + ... + 611².

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30290560² = 1835036050227200, which contains 22 as substring.

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, 571494 + ... + 571546.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^30290560 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 30290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657600).

30290560 is an abundant number, since it is smaller than the sum of its proper divisors (49024640).

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

30290560 is a wasteful number, since it uses less digits than its factorization.

30290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 30290560 is about 5503.6860375570. The cubic root of 30290560 is about 311.7231820391.

Adding to 30290560 its reverse (6509203), we get a palindrome (36799763).

It can be divided in two parts, 30290 and 560, that multiplied together give a triangular number (16962400 = T₅₈₂₄).

The spelling of 30290560 in words is "thirty million, two hundred ninety thousand, five hundred sixty".