1060752000 has 768 divisors, whose sum is σ = 4571199360. Its totient is φ = 215040000.

The previous prime is 1060751987. The next prime is 1060752023. The reversal of 1060752000 is 2570601.

1060752000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060752000² = 2250389611008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25871980 + ... + 25872020.

Almost surely, 2^1060752000 is an apocalyptic number.

1060752000 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 1060752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1060752000 is an abundant number, since it is smaller than the sum of its proper divisors (3510447360).

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

1060752000 is a wasteful number, since it uses less digits than its factorization.

1060752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1060752000 is about 32569.1878928536. The cubic root of 1060752000 is about 1019.8538814143.

The spelling of 1060752000 in words is "one billion, sixty million, seven hundred fifty-two thousand".