30187920 has 240 divisors, whose sum is σ = 116028288. Its totient is φ = 6451200.

The previous prime is 30187919. The next prime is 30187939. The reversal of 30187920 is 2978103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×30187920² = 1822621027852800, which contains 22 as substring.

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

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, 199845 + ... + 199995.

Almost surely, 2^30187920 is an apocalyptic number.

30187920 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 30187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014144).

30187920 is an abundant number, since it is smaller than the sum of its proper divisors (85840368).

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

30187920 is a wasteful number, since it uses less digits than its factorization.

30187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 30187920 is about 5494.3534651495. The cubic root of 30187920 is about 311.3706907635.

The spelling of 30187920 in words is "thirty million, one hundred eighty-seven thousand, nine hundred twenty".