10401624 has 48 divisors (see below), whose sum is σ = 28571400. Its totient is φ = 3417984.

The previous prime is 10401619. The next prime is 10401649. The reversal of 10401624 is 42610401.

10401624 is a `hidden beast` number, since 1 + 0 + 40 + 1 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10401597 and 10401606.

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, 4267 + ... + 6245.

Almost surely, 2^10401624 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 10401624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285700).

10401624 is an abundant number, since it is smaller than the sum of its proper divisors (18169776).

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

10401624 is a wasteful number, since it uses less digits than its factorization.

10401624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10401624 is about 3225.1548800019. The cubic root of 10401624 is about 218.2899377006.

It can be divided in two parts, 10401 and 624, that added together give a square (11025 = 105²).

The spelling of 10401624 in words is "ten million, four hundred one thousand, six hundred twenty-four".