1654385040 has 800 divisors, whose sum is σ = 7502198400. Its totient is φ = 331914240.

The previous prime is 1654385023. The next prime is 1654385059. The reversal of 1654385040 is 405834561.

It is a happy number.

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 = 1654384986 and 1654385004.

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, 57047746 + ... + 57047774.

It is an arithmetic number, because the mean of its divisors is an integer number (9377748).

Almost surely, 2^1654385040 is an apocalyptic number.

1654385040 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 1654385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751099200).

1654385040 is an abundant number, since it is smaller than the sum of its proper divisors (5847813360).

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

1654385040 is a wasteful number, since it uses less digits than its factorization.

1654385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1654385040 is about 40674.1323201860. The cubic root of 1654385040 is about 1182.7116228100.

The spelling of 1654385040 in words is "one billion, six hundred fifty-four million, three hundred eighty-five thousand, forty".