64114140 has 96 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 15963136.

The previous prime is 64114129. The next prime is 64114177. The reversal of 64114140 is 4141146.

It is a super-2 number, since 2×64114140² = 8221245895879200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243649 + ... + 243911.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^64114140 is an apocalyptic number.

64114140 is a gapful number since it is divisible by the number (60) 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 64114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

64114140 is an abundant number, since it is smaller than the sum of its proper divisors (127486500).

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

64114140 is a wasteful number, since it uses less digits than its factorization.

64114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 64114140 is about 8007.1305721838. The cubic root of 64114140 is about 400.2376504444.

Adding to 64114140 its reverse (4141146), we get a palindrome (68255286).

It can be divided in two parts, 6 and 4114140, that added together give a triangular number (4114146 = T₂₈₆₈).

The spelling of 64114140 in words is "sixty-four million, one hundred fourteen thousand, one hundred forty".