1055672640 has 336 divisors, whose sum is σ = 4051157760. Its totient is φ = 250122240.

The previous prime is 1055672627. The next prime is 1055672693. The reversal of 1055672640 is 462765501.

It is a happy number.

1055672640 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 7 + 2 + 640 = 666.

It is a super-2 number, since 2×1055672640² = 2228889445689139200, 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 = 1055672595 and 1055672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488606 + ... + 1489314.

Almost surely, 2^1055672640 is an apocalyptic number.

1055672640 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 1055672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025578880).

1055672640 is an abundant number, since it is smaller than the sum of its proper divisors (2995485120).

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

1055672640 is a wasteful number, since it uses less digits than its factorization.

1055672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1055672640 is about 32491.1163243124. The cubic root of 1055672640 is about 1018.2234357602.

The spelling of 1055672640 in words is "one billion, fifty-five million, six hundred seventy-two thousand, six hundred forty".