10289664 has 240 divisors, whose sum is σ = 38301120. Its totient is φ = 2580480.

The previous prime is 10289651. The next prime is 10289677. The reversal of 10289664 is 46698201.

It is an interprime number because it is at equal distance from previous prime (10289651) and next prime (10289677).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354802 + ... + 354830.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^10289664 is an apocalyptic number.

10289664 is a gapful number since it is divisible by the number (14) 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 10289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

10289664 is an abundant number, since it is smaller than the sum of its proper divisors (28011456).

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

10289664 is a wasteful number, since it uses less digits than its factorization.

10289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10289664 is about 3207.7506137479. The cubic root of 10289664 is about 217.5039079758.

The spelling of 10289664 in words is "ten million, two hundred eighty-nine thousand, six hundred sixty-four".