83374368 has 96 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 21653760.

The previous prime is 83374363. The next prime is 83374393. The reversal of 83374368 is 86347338.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (83374363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^83374368 is an apocalyptic number.

83374368 is a gapful number since it is divisible by the number (88) 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 83374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

83374368 is an abundant number, since it is smaller than the sum of its proper divisors (189511392).

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

83374368 is a wasteful number, since it uses less digits than its factorization.

83374368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11302 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 83374368 is about 9130.9565763944. The cubic root of 83374368 is about 436.8619147699.

The spelling of 83374368 in words is "eighty-three million, three hundred seventy-four thousand, three hundred sixty-eight".