10277664 has 48 divisors (see below), whose sum is σ = 27195840. Its totient is φ = 3398400.

The previous prime is 10277653. The next prime is 10277693. The reversal of 10277664 is 46677201.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14142 + ... + 14850.

It is an arithmetic number, because the mean of its divisors is an integer number (566580).

Almost surely, 2^10277664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13597920).

10277664 is an abundant number, since it is smaller than the sum of its proper divisors (16918176).

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

10277664 is a wasteful number, since it uses less digits than its factorization.

10277664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 10277664 is about 3205.8795984878. The cubic root of 10277664 is about 217.4193227006.

The spelling of 10277664 in words is "ten million, two hundred seventy-seven thousand, six hundred sixty-four".