32096640 has 128 divisors (see below), whose sum is σ = 104162400. Its totient is φ = 8404992.

The previous prime is 32096639. The next prime is 32096651. The reversal of 32096640 is 4669023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32096598 and 32096607.

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, 140046 + ... + 140274.

Almost surely, 2^32096640 is an apocalyptic number.

32096640 is a gapful number since it is divisible by the number (30) 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 32096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52081200).

32096640 is an abundant number, since it is smaller than the sum of its proper divisors (72065760).

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

32096640 is a wasteful number, since it uses less digits than its factorization.

32096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 32096640 is about 5665.3896600322. The cubic root of 32096640 is about 317.7994859501.

The spelling of 32096640 in words is "thirty-two million, ninety-six thousand, six hundred forty".