1187936640 has 192 divisors, whose sum is σ = 4475250000. Its totient is φ = 287969280.

The previous prime is 1187936573. The next prime is 1187936663. The reversal of 1187936640 is 466397811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1187936640² = 2822386921308979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53986 + ... + 72734.

Almost surely, 2^1187936640 is an apocalyptic number.

1187936640 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 1187936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237625000).

1187936640 is an abundant number, since it is smaller than the sum of its proper divisors (3287313360).

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

1187936640 is a wasteful number, since it uses less digits than its factorization.

1187936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18770 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1187936640 is about 34466.4567369493. The cubic root of 1187936640 is about 1059.0856717386.

The spelling of 1187936640 in words is "one billion, one hundred eighty-seven million, nine hundred thirty-six thousand, six hundred forty".