1354009608 has 224 divisors, whose sum is σ = 4608437760. Its totient is φ = 363916800.

The previous prime is 1354009607. The next prime is 1354009639. The reversal of 1354009608 is 8069004531.

1354009608 is a `hidden beast` number, since 1 + 3 + 5 + 40 + 0 + 9 + 608 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1354009607) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 693033 + ... + 694983.

Almost surely, 2^1354009608 is an apocalyptic number.

1354009608 is a gapful number since it is divisible by the number (18) 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 1354009608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304218880).

1354009608 is an abundant number, since it is smaller than the sum of its proper divisors (3254428152).

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

1354009608 is a wasteful number, since it uses less digits than its factorization.

1354009608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1354009608 is about 36796.8695407639. The cubic root of 1354009608 is about 1106.3025549292.

The spelling of 1354009608 in words is "one billion, three hundred fifty-four million, nine thousand, six hundred eight".