32916816 has 120 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 10153728.

The previous prime is 32916799. The next prime is 32916833. The reversal of 32916816 is 61861923.

It is an interprime number because it is at equal distance from previous prime (32916799) and next prime (32916833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 144895 + ... + 145121.

It is an arithmetic number, because the mean of its divisors is an integer number (826956).

Almost surely, 2^32916816 is an apocalyptic number.

32916816 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 32916816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

32916816 is an abundant number, since it is smaller than the sum of its proper divisors (66317904).

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

32916816 is a wasteful number, since it uses less digits than its factorization.

32916816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 32916816 is about 5737.3178402456. The cubic root of 32916816 is about 320.4836955855.

The spelling of 32916816 in words is "thirty-two million, nine hundred sixteen thousand, eight hundred sixteen".