1053662040 has 128 divisors (see below), whose sum is σ = 3718872000. Its totient is φ = 264443904.

The previous prime is 1053661991. The next prime is 1053662053. The reversal of 1053662040 is 402663501.

1053662040 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 620 + 4 + 0 = 666.

It is a super-2 number, since 2×1053662040² = 2220407389073923200, 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 = 1053661995 and 1053662013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10335 + ... + 47054.

Almost surely, 2^1053662040 is an apocalyptic number.

1053662040 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 1053662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859436000).

1053662040 is an abundant number, since it is smaller than the sum of its proper divisors (2665209960).

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

1053662040 is a wasteful number, since it uses less digits than its factorization.

1053662040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57426 (or 57416 counting only the distinct ones).

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

The square root of 1053662040 is about 32460.1608129103. The cubic root of 1053662040 is about 1017.5765997868.

The spelling of 1053662040 in words is "one billion, fifty-three million, six hundred sixty-two thousand, forty".