12546900 has 90 divisors (see below), whose sum is σ = 40698350. Its totient is φ = 3343680.

The previous prime is 12546887. The next prime is 12546913. The reversal of 12546900 is 964521.

It is an interprime number because it is at equal distance from previous prime (12546887) and next prime (12546913).

It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 12194064 = 594^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×12546900² = 314849399220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7326 + ... + 8874.

Almost surely, 2^12546900 is an apocalyptic number.

12546900 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 12546900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349175).

12546900 is an abundant number, since it is smaller than the sum of its proper divisors (28151450).

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

12546900 is a wasteful number, since it uses less digits than its factorization.

12546900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12546900 is about 3542.1603577478. The cubic root of 12546900 is about 232.3693334461.

The spelling of 12546900 in words is "twelve million, five hundred forty-six thousand, nine hundred".