1056770064 has 315 divisors, whose sum is σ = 3656009583. Its totient is φ = 294912576.

The previous prime is 1056769951. The next prime is 1056770081. The reversal of 1056770064 is 4600776501.

The square root of 1056770064 is 32508.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1056770064² = 2233525936333128192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 24576027 + ... + 24576069.

Almost surely, 2^1056770064 is an apocalyptic number.

1056770064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1056770064 is the 32508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056770064

1056770064 is an abundant number, since it is smaller than the sum of its proper divisors (2599239519).

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

1056770064 is an frugal number, since it uses more digits than its factorization.

1056770064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 55 counting only the distinct ones).

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

The cubic root of 1056770064 is about 1018.5761448014.

Multiplying 1056770064 by its sum of digits (36), we get a square (38043722304 = 195048²).

1056770064 divided by its sum of digits (36) gives a square (29354724 = 5418²).

The spelling of 1056770064 in words is "one billion, fifty-six million, seven hundred seventy thousand, sixty-four".