91773864 has 384 divisors, whose sum is σ = 344736000. Its totient is φ = 22353408.

The previous prime is 91773839. The next prime is 91773881. The reversal of 91773864 is 46837719.

It is a super-2 number, since 2×91773864² = 16844884226980992, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3164602 + ... + 3164630.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 2^91773864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91773864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

91773864 is an abundant number, since it is smaller than the sum of its proper divisors (252962136).

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

91773864 is a wasteful number, since it uses less digits than its factorization.

91773864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 91773864 is about 9579.8676400042. The cubic root of 91773864 is about 451.0655637283.

It can be divided in two parts, 9177 and 3864, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 91773864 in words is "ninety-one million, seven hundred seventy-three thousand, eight hundred sixty-four".