155924640 has 288 divisors, whose sum is σ = 577886400. Its totient is φ = 38154240.

The previous prime is 155924633. The next prime is 155924647. The reversal of 155924640 is 46429551.

155924640 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (155924633) and next prime (155924647).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 155924595 and 155924604.

It is not an unprimeable number, because it can be changed into a prime (155924647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121691 + ... + 1121829.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 2^155924640 is an apocalyptic number.

155924640 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 155924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288943200).

155924640 is an abundant number, since it is smaller than the sum of its proper divisors (421961760).

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

155924640 is a wasteful number, since it uses less digits than its factorization.

155924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 155924640 is about 12486.9788179527. The cubic root of 155924640 is about 538.2345637205.

The spelling of 155924640 in words is "one hundred fifty-five million, nine hundred twenty-four thousand, six hundred forty".