64461600 has 216 divisors, whose sum is σ = 259983360. Its totient is φ = 14722560.

The previous prime is 64461589. The next prime is 64461611. The reversal of 64461600 is 616446.

64461600 is a `hidden beast` number, since 6 + 44 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64461589) and next prime (64461611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49761 + ... + 51039.

Almost surely, 2^64461600 is an apocalyptic number.

64461600 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 64461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

64461600 is an abundant number, since it is smaller than the sum of its proper divisors (195521760).

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

64461600 is a wasteful number, since it uses less digits than its factorization.

64461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64461600 is about 8028.7981666000. The cubic root of 64461600 is about 400.9593638795.

The spelling of 64461600 in words is "sixty-four million, four hundred sixty-one thousand, six hundred".