10746120 has 128 divisors (see below), whose sum is σ = 40227840. Its totient is φ = 2231040.

The previous prime is 10746103. The next prime is 10746149. The reversal of 10746120 is 2164701.

Added to its reverse (2164701) it gives a triangular number (12910821 = T₅₀₈₁).

10746120 = T₁₆ + T₁₇ + ... + T₄₀₀.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8659 + ... + 9821.

It is an arithmetic number, because the mean of its divisors is an integer number (314280).

Almost surely, 2^10746120 is an apocalyptic number.

10746120 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 10746120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113920).

10746120 is an abundant number, since it is smaller than the sum of its proper divisors (29481720).

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

10746120 is a wasteful number, since it uses less digits than its factorization.

10746120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10746120 is about 3278.1275142984. The cubic root of 10746120 is about 220.6736924630.

Adding to 10746120 its reverse (2164701), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 10746120 in words is "ten million, seven hundred forty-six thousand, one hundred twenty".