10507992 has 64 divisors (see below), whose sum is σ = 29237760. Its totient is φ = 3120000.

The previous prime is 10507951. The next prime is 10507993. The reversal of 10507992 is 29970501.

It is a super-2 number, since 2×10507992² = 220835791744128, 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 (10507993) 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, 13617 + ... + 14367.

It is an arithmetic number, because the mean of its divisors is an integer number (456840).

Almost surely, 2^10507992 is an apocalyptic number.

10507992 is a gapful number since it is divisible by the number (12) 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 10507992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618880).

10507992 is an abundant number, since it is smaller than the sum of its proper divisors (18729768).

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

10507992 is a wasteful number, since it uses less digits than its factorization.

10507992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 10507992 is about 3241.6033070072. The cubic root of 10507992 is about 219.0315002332.

The spelling of 10507992 in words is "ten million, five hundred seven thousand, nine hundred ninety-two".