27121920 has 144 divisors (see below), whose sum is σ = 99093120. Its totient is φ = 6193152.

The previous prime is 27121903. The next prime is 27121933. The reversal of 27121920 is 2912172.

27121920 = T₃₄ + T₃₅ + ... + T₅₄₅.

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

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, 26376 + ... + 27384.

Almost surely, 2^27121920 is an apocalyptic number.

27121920 is a gapful number since it is divisible by the number (20) 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 27121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49546560).

27121920 is an abundant number, since it is smaller than the sum of its proper divisors (71971200).

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

27121920 is a wasteful number, since it uses less digits than its factorization.

27121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 27121920 is about 5207.8709661435. The cubic root of 27121920 is about 300.4508775808.

The spelling of 27121920 in words is "twenty-seven million, one hundred twenty-one thousand, nine hundred twenty".