36904896 has 196 divisors, whose sum is σ = 126595632. Its totient is φ = 10450944.

The previous prime is 36904837. The next prime is 36904951. The reversal of 36904896 is 69840963.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326536 + ... + 326648.

Almost surely, 2^36904896 is an apocalyptic number.

36904896 is a gapful number since it is divisible by the number (36) 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 36904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63297816).

36904896 is an abundant number, since it is smaller than the sum of its proper divisors (89690736).

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

36904896 is an equidigital number, since it uses as much as digits as its factorization.

36904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 36904896 is about 6074.9399997037. The cubic root of 36904896 is about 332.9364378317.

The spelling of 36904896 in words is "thirty-six million, nine hundred four thousand, eight hundred ninety-six".