64114000 has 40 divisors (see below), whose sum is σ = 155032488. Its totient is φ = 25644800.

The previous prime is 64113997. The next prime is 64114009. The reversal of 64114000 is 41146.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 62536464 = 1256^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×64114000² = 8221209992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64114009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14029 + ... + 18028.

Almost surely, 2^64114000 is an apocalyptic number.

It is an amenable number.

64114000 is an abundant number, since it is smaller than the sum of its proper divisors (90918488).

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

64114000 is a wasteful number, since it uses less digits than its factorization.

64114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32080 (or 32064 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 64114000 is about 8007.1218299711. The cubic root of 64114000 is about 400.2373591238.

Adding to 64114000 its reverse (41146), we get a palindrome (64155146).

It can be divided in two parts, 641 and 14000, that added together give a palindrome (14641).

The spelling of 64114000 in words is "sixty-four million, one hundred fourteen thousand".