64205460 has 144 divisors (see below), whose sum is σ = 220514112. Its totient is φ = 15552000.

The previous prime is 64205437. The next prime is 64205483. The reversal of 64205460 is 6450246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64205437) and next prime (64205483).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52860 + ... + 54060.

It is an arithmetic number, because the mean of its divisors is an integer number (1531348).

Almost surely, 2^64205460 is an apocalyptic number.

64205460 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 64205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110257056).

64205460 is an abundant number, since it is smaller than the sum of its proper divisors (156308652).

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

64205460 is a wasteful number, since it uses less digits than its factorization.

64205460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64205460 is about 8012.8309604034. The cubic root of 64205460 is about 400.4275844327.

The spelling of 64205460 in words is "sixty-four million, two hundred five thousand, four hundred sixty".