36603630 has 128 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 8242560.

The previous prime is 36603613. The next prime is 36603661. The reversal of 36603630 is 3630663.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36603594 and 36603603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202140 + ... + 202320.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 2^36603630 is an apocalyptic number.

36603630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36603630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

36603630 is an abundant number, since it is smaller than the sum of its proper divisors (76614930).

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

36603630 is a wasteful number, since it uses less digits than its factorization.

36603630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 36603630 is about 6050.0933877090. The cubic root of 36603630 is about 332.0280072661.

The spelling of 36603630 in words is "thirty-six million, six hundred three thousand, six hundred thirty".