30561400 has 48 divisors (see below), whose sum is σ = 72807840. Its totient is φ = 11923200.

The previous prime is 30561397. The next prime is 30561403. The reversal of 30561400 is 416503.

It is an interprime number because it is at equal distance from previous prime (30561397) and next prime (30561403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30561403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6337 + ... + 10063.

It is an arithmetic number, because the mean of its divisors is an integer number (1516830).

Almost surely, 2^30561400 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 30561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403920).

30561400 is an abundant number, since it is smaller than the sum of its proper divisors (42246440).

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

30561400 is a wasteful number, since it uses less digits than its factorization.

30561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 30561400 is about 5528.2366085398. The cubic root of 30561400 is about 312.6495071276.

Adding to 30561400 its reverse (416503), we get a palindrome (30977903).

The spelling of 30561400 in words is "thirty million, five hundred sixty-one thousand, four hundred".