30495960 has 256 divisors, whose sum is σ = 118195200. Its totient is φ = 6912000.

The previous prime is 30495937. The next prime is 30495961. The reversal of 30495960 is 6959403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30495961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201885 + ... + 202035.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^30495960 is an apocalyptic number.

30495960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

30495960 is an abundant number, since it is smaller than the sum of its proper divisors (87699240).

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

30495960 is a wasteful number, since it uses less digits than its factorization.

30495960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30495960 is about 5522.3147320666. The cubic root of 30495960 is about 312.4261927027.

It can be divided in two parts, 3049 and 5960, that added together give a palindrome (9009).

The spelling of 30495960 in words is "thirty million, four hundred ninety-five thousand, nine hundred sixty".