64070400 has 216 divisors, whose sum is σ = 218985984. Its totient is φ = 16486400.

The previous prime is 64070393. The next prime is 64070407. The reversal of 64070400 is 407046.

It is an interprime number because it is at equal distance from previous prime (64070393) and next prime (64070407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64070407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902365 + ... + 902435.

It is an arithmetic number, because the mean of its divisors is an integer number (1013824).

Almost surely, 2^64070400 is an apocalyptic number.

64070400 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 64070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992).

64070400 is an abundant number, since it is smaller than the sum of its proper divisors (154915584).

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

64070400 is a wasteful number, since it uses less digits than its factorization.

64070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 64070400 is about 8004.3987906650. The cubic root of 64070400 is about 400.1466129217.

Adding to 64070400 its reverse (407046), we get a palindrome (64477446).

The spelling of 64070400 in words is "sixty-four million, seventy thousand, four hundred".