10274880 has 224 divisors, whose sum is σ = 40965120. Its totient is φ = 2119680.

The previous prime is 10274879. The next prime is 10274897. The reversal of 10274880 is 8847201.

It is a tau number, because it is divible by the number of its divisors (224).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73851 + ... + 73989.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^10274880 is an apocalyptic number.

10274880 is a gapful number since it is divisible by the number (10) 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 10274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

10274880 is an abundant number, since it is smaller than the sum of its proper divisors (30690240).

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

10274880 is a wasteful number, since it uses less digits than its factorization.

10274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 10274880 is about 3205.4453668718. The cubic root of 10274880 is about 217.3996895084.

The spelling of 10274880 in words is "ten million, two hundred seventy-four thousand, eight hundred eighty".