1527661440 has 192 divisors, whose sum is σ = 5297582160. Its totient is φ = 405651456.

The previous prime is 1527661433. The next prime is 1527661459. The reversal of 1527661440 is 441667251.

1527661440 is a `hidden beast` number, since 15 + 27 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1527661395 and 1527661404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940727 + ... + 1941513.

Almost surely, 2^1527661440 is an apocalyptic number.

1527661440 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 1527661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648791080).

1527661440 is an abundant number, since it is smaller than the sum of its proper divisors (3769920720).

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

1527661440 is a wasteful number, since it uses less digits than its factorization.

1527661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1527661440 is about 39085.3097723429. The cubic root of 1527661440 is about 1151.7079699586.

The spelling of 1527661440 in words is "one billion, five hundred twenty-seven million, six hundred sixty-one thousand, four hundred forty".