153896040 has 96 divisors (see below), whose sum is σ = 517444200. Its totient is φ = 39621120.

The previous prime is 153896033. The next prime is 153896081. The reversal of 153896040 is 40698351.

153896040 is a `hidden beast` number, since 15 + 38 + 9 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150847524 + 3048516 = 12282^2 + 1746^2 .

It is a super-2 number, since 2×153896040² = 47367982255363200, which contains 22 as substring.

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 = 153895986 and 153896004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3070 + ... + 17810.

Almost surely, 2^153896040 is an apocalyptic number.

153896040 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 153896040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258722100).

153896040 is an abundant number, since it is smaller than the sum of its proper divisors (363548160).

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

153896040 is a wasteful number, since it uses less digits than its factorization.

153896040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 153896040 is about 12405.4842710795. The cubic root of 153896040 is about 535.8901999044.

The spelling of 153896040 in words is "one hundred fifty-three million, eight hundred ninety-six thousand, forty".