10056948 has 48 divisors (see below), whose sum is σ = 26040000. Its totient is φ = 2995200.

The previous prime is 10056941. The next prime is 10056953. The reversal of 10056948 is 84965001.

It is a super-2 number, since 2×10056948² = 202284406149408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7428 + ... + 8676.

It is an arithmetic number, because the mean of its divisors is an integer number (542500).

Almost surely, 2^10056948 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 10056948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020000).

10056948 is an abundant number, since it is smaller than the sum of its proper divisors (15983052).

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

10056948 is a wasteful number, since it uses less digits than its factorization.

10056948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10056948 is about 3171.2691465721. The cubic root of 10056948 is about 215.8516642733.

The spelling of 10056948 in words is "ten million, fifty-six thousand, nine hundred forty-eight".