64190400 has 168 divisors, whose sum is σ = 216188544. Its totient is φ = 16665600.

The previous prime is 64190377. The next prime is 64190411. The reversal of 64190400 is 409146.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206245 + ... + 206555.

Almost surely, 2^64190400 is an apocalyptic number.

64190400 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 64190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108094272).

64190400 is an abundant number, since it is smaller than the sum of its proper divisors (151998144).

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

64190400 is a wasteful number, since it uses less digits than its factorization.

64190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 64190400 is about 8011.8911625159. The cubic root of 64190400 is about 400.3962739544.

Adding to 64190400 its reverse (409146), we get a palindrome (64599546).

The spelling of 64190400 in words is "sixty-four million, one hundred ninety thousand, four hundred".