1536676440 has 96 divisors (see below), whose sum is σ = 4991991120. Its totient is φ = 378253824.

The previous prime is 1536676439. The next prime is 1536676457. The reversal of 1536676440 is 446766351.

It is a super-2 number, since 2×1536676440² = 4722748962502147200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1536676392 and 1536676401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17607 + ... + 58166.

Almost surely, 2^1536676440 is an apocalyptic number.

1536676440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1536676440 is an abundant number, since it is smaller than the sum of its proper divisors (3455314680).

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

1536676440 is a wasteful number, since it uses less digits than its factorization.

1536676440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75813 (or 75796 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1536676440 is about 39200.4647931628. The cubic root of 1536676440 is about 1153.9690055723.

It can be divided in two parts, 15366 and 76440, that added together give a triangular number (91806 = T₄₂₈).

The spelling of 1536676440 in words is "one billion, five hundred thirty-six million, six hundred seventy-six thousand, four hundred forty".