1215600 has 60 divisors (see below), whose sum is σ = 3897816. Its totient is φ = 323840.

The previous prime is 1215587. The next prime is 1215623. The reversal of 1215600 is 65121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1215600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 1706.

2^1215600 is an apocalyptic number.

1215600 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 1215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948908).

1215600 is an abundant number, since it is smaller than the sum of its proper divisors (2682216).

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

1215600 is a wasteful number, since it uses less digits than its factorization.

1215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1215600 is about 1102.5425161870. The cubic root of 1215600 is about 106.7243611494.

It can be divided in two parts, 1215 and 600, that multiplied together give a cube (729000 = 90³).

The spelling of 1215600 in words is "one million, two hundred fifteen thousand, six hundred".