10477740 has 192 divisors, whose sum is σ = 38384640. Its totient is φ = 2073600.

The previous prime is 10477723. The next prime is 10477741. The reversal of 10477740 is 4777401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10477698 and 10477707.

It is not an unprimeable number, because it can be changed into a prime (10477741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103690 + ... + 103790.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 2^10477740 is an apocalyptic number.

10477740 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 10477740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

10477740 is an abundant number, since it is smaller than the sum of its proper divisors (27906900).

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

10477740 is a wasteful number, since it uses less digits than its factorization.

10477740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 10477740 is about 3236.9337342615. The cubic root of 10477740 is about 218.8211045041.

The spelling of 10477740 in words is "ten million, four hundred seventy-seven thousand, seven hundred forty".