1245537216 has 672 divisors, whose sum is σ = 4929469440. Its totient is φ = 301086720.

The previous prime is 1245537199. The next prime is 1245537247. The reversal of 1245537216 is 6127355421.

1245537216 is a `hidden beast` number, since 1 + 24 + 553 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33663150 + ... + 33663186.

It is an arithmetic number, because the mean of its divisors is an integer number (7335520).

Almost surely, 2^1245537216 is an apocalyptic number.

1245537216 is a gapful number since it is divisible by the number (16) 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 1245537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464734720).

1245537216 is an abundant number, since it is smaller than the sum of its proper divisors (3683932224).

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

1245537216 is a wasteful number, since it uses less digits than its factorization.

1245537216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1245537216 is about 35292.1693297536. The cubic root of 1245537216 is about 1075.9338461192.

It can be divided in two parts, 124553 and 7216, that added together give a square (131769 = 363²).

The spelling of 1245537216 in words is "one billion, two hundred forty-five million, five hundred thirty-seven thousand, two hundred sixteen".