36153480 has 128 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 8601600.

The previous prime is 36153463. The next prime is 36153487. The reversal of 36153480 is 8435163.

It is a super-2 number, since 2×36153480² = 2614148232220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36153487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80296 + ... + 80744.

It is an arithmetic number, because the mean of its divisors is an integer number (941625).

Almost surely, 2^36153480 is an apocalyptic number.

36153480 is a gapful number since it is divisible by the number (30) 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 36153480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264000).

36153480 is an abundant number, since it is smaller than the sum of its proper divisors (84374520).

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

36153480 is a wasteful number, since it uses less digits than its factorization.

36153480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 36153480 is about 6012.7763969734. The cubic root of 36153480 is about 330.6613001716.

The spelling of 36153480 in words is "thirty-six million, one hundred fifty-three thousand, four hundred eighty".