64010400 has 144 divisors (see below), whose sum is σ = 210924000. Its totient is φ = 16860160.

The previous prime is 64010369. The next prime is 64010431. The reversal of 64010400 is 401046.

It is an interprime number because it is at equal distance from previous prime (64010369) and next prime (64010431).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 64010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357511 + ... + 357689.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^64010400 is an apocalyptic number.

64010400 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 64010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462000).

64010400 is an abundant number, since it is smaller than the sum of its proper divisors (146913600).

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

64010400 is a wasteful number, since it uses less digits than its factorization.

64010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 64010400 is about 8000.6499735959. The cubic root of 64010400 is about 400.0216654932.

Adding to 64010400 its reverse (401046), we get a palindrome (64411446).

The spelling of 64010400 in words is "sixty-four million, ten thousand, four hundred".