36416220 has 48 divisors (see below), whose sum is σ = 102324768. Its totient is φ = 9676800.

The previous prime is 36416213. The next prime is 36416231. The reversal of 36416220 is 2261463.

36416220 = 146² + 147² + ... + 482².

It is a super-2 number, since 2×36416220² = 2652282158176800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19320 + ... + 21120.

It is an arithmetic number, because the mean of its divisors is an integer number (2131766).

Almost surely, 2^36416220 is an apocalyptic number.

36416220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36416220 is an abundant number, since it is smaller than the sum of its proper divisors (65908548).

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

36416220 is a wasteful number, since it uses less digits than its factorization.

36416220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36416220 is about 6034.5853212959. The cubic root of 36416220 is about 331.4603780485.

Adding to 36416220 its reverse (2261463), we get a palindrome (38677683).

The spelling of 36416220 in words is "thirty-six million, four hundred sixteen thousand, two hundred twenty".