30790032 has 240 divisors, whose sum is σ = 106868160. Its totient is φ = 7547904.

The previous prime is 30790027. The next prime is 30790049. The reversal of 30790032 is 23009703.

It is a super-2 number, since 2×30790032² = 1896052141122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30789984 and 30790011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580918 + ... + 580970.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^30790032 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 30790032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

30790032 is an abundant number, since it is smaller than the sum of its proper divisors (76078128).

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

30790032 is a wasteful number, since it uses less digits than its factorization.

30790032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 30790032 is about 5548.8766430693. The cubic root of 30790032 is about 313.4272220023.

Adding to 30790032 its reverse (23009703), we get a palindrome (53799735).

The spelling of 30790032 in words is "thirty million, seven hundred ninety thousand, thirty-two".