121587648 has 112 divisors (see below), whose sum is σ = 395996160. Its totient is φ = 32062464.

The previous prime is 121587619. The next prime is 121587659. The reversal of 121587648 is 846785121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×121587648² = 29567112292343808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13993 + ... + 20951.

It is an arithmetic number, because the mean of its divisors is an integer number (3535680).

Almost surely, 2^121587648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197998080).

121587648 is an abundant number, since it is smaller than the sum of its proper divisors (274408512).

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

121587648 is a wasteful number, since it uses less digits than its factorization.

121587648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6984 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 121587648 is about 11026.6789197836. The cubic root of 121587648 is about 495.4081563697.

The spelling of 121587648 in words is "one hundred twenty-one million, five hundred eighty-seven thousand, six hundred forty-eight".