154561680 has 360 divisors, whose sum is σ = 652192632. Its totient is φ = 32514048.

The previous prime is 154561663. The next prime is 154561699. The reversal of 154561680 is 86165451.

154561680 is a `hidden beast` number, since 15 + 4 + 561 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 154554624 = 84^2 + 12432^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×154561680³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458472 + ... + 458808.

Almost surely, 2^154561680 is an apocalyptic number.

154561680 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 154561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326096316).

154561680 is an abundant number, since it is smaller than the sum of its proper divisors (497630952).

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

154561680 is a wasteful number, since it uses less digits than its factorization.

154561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 154561680 is about 12432.2837805449. The cubic root of 154561680 is about 536.6617096791.

The spelling of 154561680 in words is "one hundred fifty-four million, five hundred sixty-one thousand, six hundred eighty".