30145856 has 56 divisors (see below), whose sum is σ = 67848480. Its totient is φ = 13174272.

The previous prime is 30145831. The next prime is 30145883. The reversal of 30145856 is 65854103.

30145856 = 219² + 220² + ... + 465².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

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, 14855 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (1211580).

Almost surely, 2^30145856 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 30145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33924240).

30145856 is an abundant number, since it is smaller than the sum of its proper divisors (37702624).

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

30145856 is a wasteful number, since it uses less digits than its factorization.

30145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 30145856 is about 5490.5242008391. The cubic root of 30145856 is about 311.2260017088.

Adding to 30145856 its reverse (65854103), we get a palindrome (95999959).

The spelling of 30145856 in words is "thirty million, one hundred forty-five thousand, eight hundred fifty-six".