30948840 has 192 divisors, whose sum is σ = 114987600. Its totient is φ = 7151616.

The previous prime is 30948839. The next prime is 30948859. The reversal of 30948840 is 4884903.

It can be written as a sum of positive squares in 8 ways, for example, as 7851204 + 23097636 = 2802^2 + 4806^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 30948795 and 30948804.

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, 79366 + ... + 79754.

Almost surely, 2^30948840 is an apocalyptic number.

30948840 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 30948840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800).

30948840 is an abundant number, since it is smaller than the sum of its proper divisors (84038760).

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

30948840 is a wasteful number, since it uses less digits than its factorization.

30948840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30948840 is about 5563.1681621177. The cubic root of 30948840 is about 313.9651603738.

The spelling of 30948840 in words is "thirty million, nine hundred forty-eight thousand, eight hundred forty".