10172640 has 48 divisors (see below), whose sum is σ = 32045328. Its totient is φ = 2712576.

The previous prime is 10172621. The next prime is 10172641. The reversal of 10172640 is 4627101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10117 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (667611).

Almost surely, 2^10172640 is an apocalyptic number.

10172640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10172640 is an abundant number, since it is smaller than the sum of its proper divisors (21872688).

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

10172640 is a wasteful number, since it uses less digits than its factorization.

10172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21211 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10172640 is about 3189.4576341441. The cubic root of 10172640 is about 216.6762073379.

Adding to 10172640 its reverse (4627101), we get a palindrome (14799741).

The spelling of 10172640 in words is "ten million, one hundred seventy-two thousand, six hundred forty".