51964140 has 48 divisors (see below), whose sum is σ = 148603392. Its totient is φ = 13561536.

The previous prime is 51964139. The next prime is 51964147. The reversal of 51964140 is 4146915.

It is a happy number.

51964140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 51964098 and 51964107.

It is not an unprimeable number, because it can be changed into a prime (51964147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6394 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (3095904).

Almost surely, 2^51964140 is an apocalyptic number.

It is an amenable number.

51964140 is an abundant number, since it is smaller than the sum of its proper divisors (96639252).

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

51964140 is a wasteful number, since it uses less digits than its factorization.

51964140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486 (or 18484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 51964140 is about 7208.6156784781. The cubic root of 51964140 is about 373.1652960473.

Subtracting from 51964140 its reverse (4146915), we obtain a square (47817225 = 6915²).

The spelling of 51964140 in words is "fifty-one million, nine hundred sixty-four thousand, one hundred forty".