64142400 has 336 divisors, whose sum is σ = 253983744. Its totient is φ = 13854720.

The previous prime is 64142387. The next prime is 64142401. The reversal of 64142400 is 424146.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×64142400² = 8228494955520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (64142401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772759 + ... + 772841.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 2^64142400 is an apocalyptic number.

64142400 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 64142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

64142400 is an abundant number, since it is smaller than the sum of its proper divisors (189841344).

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

64142400 is a wasteful number, since it uses less digits than its factorization.

64142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 64142400 is about 8008.8950548749. The cubic root of 64142400 is about 400.2964469105.

Adding to 64142400 its reverse (424146), we get a palindrome (64566546).

The spelling of 64142400 in words is "sixty-four million, one hundred forty-two thousand, four hundred".