1648526880 has 768 divisors, whose sum is σ = 7218118656. Its totient is φ = 305233920.

The previous prime is 1648526843. The next prime is 1648526881. The reversal of 1648526880 is 886258461.

It is a happy number.

It is a super-3 number, since 3×1648526880³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1648526881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22582524 + ... + 22582596.

It is an arithmetic number, because the mean of its divisors is an integer number (9398592).

Almost surely, 2^1648526880 is an apocalyptic number.

1648526880 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 1648526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609059328).

1648526880 is an abundant number, since it is smaller than the sum of its proper divisors (5569591776).

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

1648526880 is a wasteful number, since it uses less digits than its factorization.

1648526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 1648526880 is about 40602.0551204000. The cubic root of 1648526880 is about 1181.3139820331.

It can be divided in two parts, 16485 and 26880, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 1648526880 in words is "one billion, six hundred forty-eight million, five hundred twenty-six thousand, eight hundred eighty".