10406988 has 48 divisors (see below), whose sum is σ = 27185760. Its totient is φ = 3442752.

The previous prime is 10406983. The next prime is 10407011. The reversal of 10406988 is 88960401.

It is a happy number.

10406988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10406983) 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, 18406 + ... + 18962.

It is an arithmetic number, because the mean of its divisors is an integer number (566370).

Almost surely, 2^10406988 is an apocalyptic number.

10406988 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 10406988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592880).

10406988 is an abundant number, since it is smaller than the sum of its proper divisors (16778772).

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

10406988 is a wasteful number, since it uses less digits than its factorization.

10406988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10406988 is about 3225.9863607895. The cubic root of 10406988 is about 218.3274544707.

The spelling of 10406988 in words is "ten million, four hundred six thousand, nine hundred eighty-eight".