1052663040 has 720 divisors, whose sum is σ = 4487446656. Its totient is φ = 232243200.

The previous prime is 1052663039. The next prime is 1052663041. The reversal of 1052663040 is 403662501.

1052663040 is a `hidden beast` number, since 1 + 0 + 5 + 26 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1052663039) and next prime (1052663041).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1052663040² = 2216198951564083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1052662995 and 1052663013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052663041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14826205 + ... + 14826275.

Almost surely, 2^1052663040 is an apocalyptic number.

1052663040 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 1052663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243723328).

1052663040 is an abundant number, since it is smaller than the sum of its proper divisors (3434783616).

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

1052663040 is a wasteful number, since it uses less digits than its factorization.

1052663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1052663040 is about 32444.7690699133. The cubic root of 1052663040 is about 1017.2549025607.

The spelling of 1052663040 in words is "one billion, fifty-two million, six hundred sixty-three thousand, forty".