30601248 has 72 divisors (see below), whose sum is σ = 84874608. Its totient is φ = 9652608.

The previous prime is 30601243. The next prime is 30601261. The reversal of 30601248 is 84210603.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30601243) 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, 34215 + ... + 35097.

It is an arithmetic number, because the mean of its divisors is an integer number (1178814).

Almost surely, 2^30601248 is an apocalyptic number.

30601248 is a gapful number since it is divisible by the number (38) 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 30601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42437304).

30601248 is an abundant number, since it is smaller than the sum of its proper divisors (54273360).

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

30601248 is a wasteful number, since it uses less digits than its factorization.

30601248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30601248 is about 5531.8394770637. The cubic root of 30601248 is about 312.7853325671.

The spelling of 30601248 in words is "thirty million, six hundred one thousand, two hundred forty-eight".