51067920 has 80 divisors (see below), whose sum is σ = 159007680. Its totient is φ = 13558272.

The previous prime is 51067909. The next prime is 51067921. The reversal of 51067920 is 2976015.

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 not an unprimeable number, because it can be changed into a prime (51067921) 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, 93087 + ... + 93633.

It is an arithmetic number, because the mean of its divisors is an integer number (1987596).

Almost surely, 2^51067920 is an apocalyptic number.

51067920 is the 5835-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79503840).

51067920 is an abundant number, since it is smaller than the sum of its proper divisors (107939760).

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

51067920 is a wasteful number, since it uses less digits than its factorization.

51067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 51067920 is about 7146.1821975094. The cubic root of 51067920 is about 371.0075290960.

The spelling of 51067920 in words is "fifty-one million, sixty-seven thousand, nine hundred twenty".