1047536640 has 264 divisors, whose sum is σ = 3678704640. Its totient is φ = 275595264.

The previous prime is 1047536639. The next prime is 1047536657. The reversal of 1047536640 is 466357401.

It is a happy number.

1047536640 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 5 + 3 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1047536595 and 1047536604.

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, 5852071 + ... + 5852249.

Almost surely, 2^1047536640 is an apocalyptic number.

1047536640 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 1047536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839352320).

1047536640 is an abundant number, since it is smaller than the sum of its proper divisors (2631168000).

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

1047536640 is a wasteful number, since it uses less digits than its factorization.

1047536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1047536640 is about 32365.6707021498. The cubic root of 1047536640 is about 1015.6008931114.

The spelling of 1047536640 in words is "one billion, forty-seven million, five hundred thirty-six thousand, six hundred forty".