30876240 has 80 divisors (see below), whose sum is σ = 96565248. Its totient is φ = 8160768.

The previous prime is 30876229. The next prime is 30876253. The reversal of 30876240 is 4267803.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30876198 and 30876207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29974 + ... + 30986.

Almost surely, 2^30876240 is an apocalyptic number.

30876240 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 30876240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282624).

30876240 is an abundant number, since it is smaller than the sum of its proper divisors (65689008).

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

30876240 is a wasteful number, since it uses less digits than its factorization.

30876240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

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

The square root of 30876240 is about 5556.6392720780. The cubic root of 30876240 is about 313.7194676193.

The spelling of 30876240 in words is "thirty million, eight hundred seventy-six thousand, two hundred forty".