1055658240 has 864 divisors, whose sum is σ = 4821223680. Its totient is φ = 207028224.

The previous prime is 1055658199. The next prime is 1055658311. The reversal of 1055658240 is 428565501.

1055658240 is a `hidden beast` number, since 10 + 5 + 565 + 82 + 4 + 0 = 666.

It is a super-2 number, since 2×1055658240² = 2228828639359795200, 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 = 1055658195 and 1055658204.

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, 19918054 + ... + 19918106.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^1055658240 is an apocalyptic number.

1055658240 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 1055658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840).

1055658240 is an abundant number, since it is smaller than the sum of its proper divisors (3765565440).

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

1055658240 is a wasteful number, since it uses less digits than its factorization.

1055658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1055658240 is about 32490.8947245224. The cubic root of 1055658240 is about 1018.2188060156.

The spelling of 1055658240 in words is "one billion, fifty-five million, six hundred fifty-eight thousand, two hundred forty".