1056767040 has 448 divisors, whose sum is σ = 4327672320. Its totient is φ = 237772800.

The previous prime is 1056767021. The next prime is 1056767051. The reversal of 1056767040 is 407676501.

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

It is a super-2 number, since 2×1056767040² = 2233513153660723200, which contains 22 as substring.

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 = 1056766986 and 1056767004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6108394 + ... + 6108566.

Almost surely, 2^1056767040 is an apocalyptic number.

1056767040 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 1056767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163836160).

1056767040 is an abundant number, since it is smaller than the sum of its proper divisors (3270905280).

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

1056767040 is a wasteful number, since it uses less digits than its factorization.

1056767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1056767040 is about 32507.9534883388. The cubic root of 1056767040 is about 1018.5751732317.

The spelling of 1056767040 in words is "one billion, fifty-six million, seven hundred sixty-seven thousand, forty".