10492880 has 40 divisors (see below), whose sum is σ = 25188864. Its totient is φ = 4060800.

The previous prime is 10492879. The next prime is 10492907. The reversal of 10492880 is 8829401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10492880² = 220201061388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365 + ... + 4595.

Almost surely, 2^10492880 is an apocalyptic number.

10492880 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 10492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594432).

10492880 is an abundant number, since it is smaller than the sum of its proper divisors (14695984).

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

10492880 is a wasteful number, since it uses less digits than its factorization.

10492880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10492880 is about 3239.2715230434. The cubic root of 10492880 is about 218.9264502847.

The spelling of 10492880 in words is "ten million, four hundred ninety-two thousand, eight hundred eighty".