30408672 has 96 divisors (see below), whose sum is σ = 93768192. Its totient is φ = 8446464.

The previous prime is 30408649. The next prime is 30408673. The reversal of 30408672 is 27680403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30408673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24253 + ... + 25475.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 2^30408672 is an apocalyptic number.

30408672 is a gapful number since it is divisible by the number (32) 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 30408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884096).

30408672 is an abundant number, since it is smaller than the sum of its proper divisors (63359520).

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

30408672 is a wasteful number, since it uses less digits than its factorization.

30408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 30408672 is about 5514.4058610153. The cubic root of 30408672 is about 312.1278240214.

The spelling of 30408672 in words is "thirty million, four hundred eight thousand, six hundred seventy-two".