10642680 has 192 divisors, whose sum is σ = 38413440. Its totient is φ = 2543616.

The previous prime is 10642669. The next prime is 10642691. The reversal of 10642680 is 8624601.

10642680 is a `hidden beast` number, since 10 + 642 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10642669) and next prime (10642691).

It is a super-2 number, since 2×10642680² = 226533275164800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226417 + ... + 226463.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^10642680 is an apocalyptic number.

10642680 is a gapful number since it is divisible by the number (10) 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 10642680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

10642680 is an abundant number, since it is smaller than the sum of its proper divisors (27770760).

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

10642680 is a wasteful number, since it uses less digits than its factorization.

10642680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10642680 is about 3262.3120635525. The cubic root of 10642680 is about 219.9633547779.

The spelling of 10642680 in words is "ten million, six hundred forty-two thousand, six hundred eighty".