1054642680 has 640 divisors, whose sum is σ = 4512816000. Its totient is φ = 219469824.

The previous prime is 1054642657. The next prime is 1054642727. The reversal of 1054642680 is 862464501.

1054642680 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 642 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1054642680² = 2224542364955164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14447124 + ... + 14447196.

It is an arithmetic number, because the mean of its divisors is an integer number (7051275).

Almost surely, 2^1054642680 is an apocalyptic number.

1054642680 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 1054642680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256408000).

1054642680 is an abundant number, since it is smaller than the sum of its proper divisors (3458173320).

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

1054642680 is a wasteful number, since it uses less digits than its factorization.

1054642680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1054642680 is about 32475.2625855435. The cubic root of 1054642680 is about 1017.8921870325.

The spelling of 1054642680 in words is "one billion, fifty-four million, six hundred forty-two thousand, six hundred eighty".