10257948 has 48 divisors (see below), whose sum is σ = 28000000. Its totient is φ = 3238704.

The previous prime is 10257941. The next prime is 10257959. The reversal of 10257948 is 84975201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448 + ... + 4551.

Almost surely, 2^10257948 is an apocalyptic number.

10257948 is a gapful number since it is divisible by the number (18) 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 10257948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000000).

10257948 is an abundant number, since it is smaller than the sum of its proper divisors (17742052).

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

10257948 is a wasteful number, since it uses less digits than its factorization.

10257948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10257948 is about 3202.8031472446. The cubic root of 10257948 is about 217.2802060245.

The spelling of 10257948 in words is "ten million, two hundred fifty-seven thousand, nine hundred forty-eight".