11972610 has 96 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2939328.

The previous prime is 11972593. The next prime is 11972629. The reversal of 11972610 is 1627911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31401 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^11972610 is an apocalyptic number.

11972610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11972610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

11972610 is an abundant number, since it is smaller than the sum of its proper divisors (22884030).

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

11972610 is a wasteful number, since it uses less digits than its factorization.

11972610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11972610 is about 3460.1459506790. The cubic root of 11972610 is about 228.7685284642.

The spelling of 11972610 in words is "eleven million, nine hundred seventy-two thousand, six hundred ten".