60257664 has 96 divisors (see below), whose sum is σ = 182590200. Its totient is φ = 19021824.

The previous prime is 60257657. The next prime is 60257671. The reversal of 60257664 is 46675206.

60257664 = 352² + 353² + ... + 607².

60257664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60257657) and next prime (60257671).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20512 + ... + 23264.

Almost surely, 2^60257664 is an apocalyptic number.

60257664 is a gapful number since it is divisible by the number (64) 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 60257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91295100).

60257664 is an abundant number, since it is smaller than the sum of its proper divisors (122332536).

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

60257664 is a wasteful number, since it uses less digits than its factorization.

60257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 60257664 is about 7762.5810140700. The cubic root of 60257664 is about 392.0463640843.

It can be divided in two parts, 6025 and 7664, that added together give a square (13689 = 117²).

The spelling of 60257664 in words is "sixty million, two hundred fifty-seven thousand, six hundred sixty-four".