1187449536 has 448 divisors, whose sum is σ = 4210304000. Its totient is φ = 292626432.

The previous prime is 1187449499. The next prime is 1187449537. The reversal of 1187449536 is 6359447811.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1187449537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16266396 + ... + 16266468.

It is an arithmetic number, because the mean of its divisors is an integer number (9398000).

Almost surely, 2^1187449536 is an apocalyptic number.

1187449536 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 1187449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105152000).

1187449536 is an abundant number, since it is smaller than the sum of its proper divisors (3022854464).

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

1187449536 is a wasteful number, since it uses less digits than its factorization.

1187449536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1187449536 is about 34459.3896637767. The cubic root of 1187449536 is about 1058.9408953880.

The spelling of 1187449536 in words is "one billion, one hundred eighty-seven million, four hundred forty-nine thousand, five hundred thirty-six".