10019664 has 60 divisors (see below), whose sum is σ = 29697876. Its totient is φ = 3142656.

The previous prime is 10019657. The next prime is 10019671. The reversal of 10019664 is 46691001.

It is an interprime number because it is at equal distance from previous prime (10019657) and next prime (10019671).

It can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 3968064 = 2460^2 + 1992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402 + ... + 4494.

Almost surely, 2^10019664 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 10019664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848938).

10019664 is an abundant number, since it is smaller than the sum of its proper divisors (19678212).

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

10019664 is a wasteful number, since it uses less digits than its factorization.

10019664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10019664 is about 3165.3852846060. The cubic root of 10019664 is about 215.5845925543.

The spelling of 10019664 in words is "ten million, nineteen thousand, six hundred sixty-four".