10249680 has 80 divisors (see below), whose sum is σ = 36319104. Its totient is φ = 2342400.

The previous prime is 10249669. The next prime is 10249709. The reversal of 10249680 is 8694201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 4730.

Almost surely, 2^10249680 is an apocalyptic number.

10249680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10249680 is an abundant number, since it is smaller than the sum of its proper divisors (26069424).

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

10249680 is a wasteful number, since it uses less digits than its factorization.

10249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10249680 is about 3201.5121427226. The cubic root of 10249680 is about 217.2218137217.

The spelling of 10249680 in words is "ten million, two hundred forty-nine thousand, six hundred eighty".