155979648 has 192 divisors, whose sum is σ = 507368400. Its totient is φ = 47139840.

The previous prime is 155979647. The next prime is 155979671. The reversal of 155979648 is 846979551.

155979648 is a `hidden beast` number, since 1 + 5 + 597 + 9 + 6 + 48 = 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 155979594 and 155979603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155979647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417990 + ... + 418362.

Almost surely, 2^155979648 is an apocalyptic number.

155979648 is a gapful number since it is divisible by the number (18) 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 155979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253684200).

155979648 is an abundant number, since it is smaller than the sum of its proper divisors (351388752).

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

155979648 is a wasteful number, since it uses less digits than its factorization.

155979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 389 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 155979648 is about 12489.1812381757. The cubic root of 155979648 is about 538.2978501173.

The spelling of 155979648 in words is "one hundred fifty-five million, nine hundred seventy-nine thousand, six hundred forty-eight".