1054680000 has 560 divisors, whose sum is σ = 4113483264. Its totient is φ = 235520000.

The previous prime is 1054679971. The next prime is 1054680007. The reversal of 1054680000 is 864501.

It is a super-2 number, since 2×1054680000² = 2224699804800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054680007) 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, 22439977 + ... + 22440023.

Almost surely, 2^1054680000 is an apocalyptic number.

1054680000 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 1054680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056741632).

1054680000 is an abundant number, since it is smaller than the sum of its proper divisors (3058803264).

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

1054680000 is a wasteful number, since it uses less digits than its factorization.

1054680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1054680000 is about 32475.8371716573. The cubic root of 1054680000 is about 1017.9041934017.

The spelling of 1054680000 in words is "one billion, fifty-four million, six hundred eighty thousand".